{"id":12,"date":"2023-09-17T11:14:13","date_gmt":"2023-09-17T11:14:13","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d0%b8-%d1%81-%d0%b0%d0%b1%d1%81%d0%be%d0%bb%d1%8e%d1%82%d0%bd%d1%8b%d0%bc-%d0%b7%d0%bd%d0%b0%d1%87%d0%b5%d0%bd%d0%b8%d0%b5%d0%bc\/"},"modified":"2023-09-17T11:14:13","modified_gmt":"2023-09-17T11:14:13","slug":"%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d0%b8-%d1%81-%d0%b0%d0%b1%d1%81%d0%be%d0%bb%d1%8e%d1%82%d0%bd%d1%8b%d0%bc-%d0%b7%d0%bd%d0%b0%d1%87%d0%b5%d0%bd%d0%b8%d0%b5%d0%bc","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d0%b8-%d1%81-%d0%b0%d0%b1%d1%81%d0%be%d0%bb%d1%8e%d1%82%d0%bd%d1%8b%d0%bc-%d0%b7%d0%bd%d0%b0%d1%87%d0%b5%d0%bd%d0%b8%d0%b5%d0%bc\/","title":{"rendered":"\u0424\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f"},"content":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u0443\u0441\u043e\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0438 \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u044d\u0442\u0438 \u0442\u0438\u043f\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u044d\u0442\u043e \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0438 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0438 \u0440\u0435\u0448\u0430\u044f \u0437\u0430\u0434\u0430\u0447\u0438 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-funciones-con-valor-absoluto\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0437\u043d\u0430\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435: <\/p>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0410\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u0440\u0435\u0432\u0440\u0430\u0449\u0430\u0435\u0442 \u0432\u0441\u0435 \u0435\u0435 \u043e\u0431\u0440\u0430\u0437\u044b \u0432 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u043e\u0431\u0440\u0430\u0437\u044b. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u043f\u0443\u0442\u044c \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0438\u043a\u043e\u0433\u0434\u0430 \u043d\u0435 \u043c\u043e\u0436\u0435\u0442 \u0438\u043c\u0435\u0442\u044c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f.<\/p>\n<\/div>\n<p> \u0421\u043b\u0435\u0434\u0443\u044e\u0449\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043f\u0440\u0438\u043c\u0435\u0440\u043e\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c47683282f0a9e0fd462e2fc1378e9dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\lvert 5x \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"85\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0415\u0441\u043b\u0438 \u043f\u0440\u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0435\u043d\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0442\u043e\u0447\u043a\u0435 \u043f\u043e\u043b\u0443\u0447\u0435\u043d \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0439 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442, \u043e\u043d \u043e\u0441\u0442\u0430\u0435\u0442\u0441\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-cfaead3a9197049ee7d0bed5f3b3f5f4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(1)=\\lvert 5\\cdot 1 \\rvert =\\lvert 5 \\rvert = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439, \u043e\u043d \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u043c:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-75a9e6e15c0bce9dc1fb545b31455b9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-1)=\\lvert 5\\cdot (-1) \\rvert =\\lvert -5 \\rvert = 5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"226\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0424\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043e\u0431\u044b\u0447\u043d\u043e \u0438\u0437\u0443\u0447\u0430\u044e\u0442 \u0432 \u0441\u0442\u0430\u0440\u0448\u0438\u0445 \u043a\u043b\u0430\u0441\u0441\u0430\u0445 \u0448\u043a\u043e\u043b\u044b, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u0438\u0445 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438 \u0437\u0430\u0442\u0440\u0443\u0434\u043d\u044f\u044e\u0442 \u043f\u043e\u043d\u0438\u043c\u0430\u043d\u0438\u0435. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-definir-a-trozos-una-funcion-con-valor-absoluto\"><\/span> \u041a\u0430\u043a \u043a\u0443\u0441\u043e\u0447\u043d\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"background:linear-gradient(to bottom, #FFFFFF 0%, #FFE0B2 100%); padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0410\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043c\u043e\u0436\u043d\u043e \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u043a\u0430\u043a \u043a\u0443\u0441\u043e\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0438\u0437\u043c\u0435\u043d\u0438\u0442\u044c \u0437\u043d\u0430\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0430 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430\u0445, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u0441\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u043c.<\/p>\n<\/div>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043f\u0435\u0440\u0435\u0439\u0442\u0438 \u043e\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043a \u043a\u0443\u0441\u043e\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438:<\/p>\n<ul>\n<li> \u0412\u044b\u0440\u0430\u0437\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043a\u0430\u043a \u043a\u0443\u0441\u043e\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-edf34c53d8238453990b186ffc5f616a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = \\lvert 4 - x^2 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"114\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u043e\u0433\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u0441\u0432\u043e\u0438\u043c \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e \u043f\u043e \u043c\u043e\u0434\u0443\u043b\u044e \u0440\u0430\u0432\u043d\u0443\u044e 0 \u0438 \u0440\u0435\u0448\u0438\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-049596750c778a5f50e68a9e8369cb0d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-x^2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"81\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7ed7be5f6a42be4e4ba618e00dd0469_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4 = x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"50\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6bf210076e7da91907e32495aee4ddb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sqrt{4}=\\sqrt{x^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"79\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a6a27a106bd911aac45faf1b5039ace8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\pm 2 = x\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-18b3e26294cd13ef4d76d41990be697f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=+2 \\qquad x=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"148\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u044b\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u0441\u0442\u0440\u043e\u043a\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/definir-une-fonction-avec-une-valeur-absolue-par-morceaux.webp\" alt=\"\" class=\"wp-image-223\" width=\"301\" height=\"78\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418 \u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u043e\u0439 \u0437\u043d\u0430\u043a \u0438\u043c\u0435\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u043a\u0430\u0436\u0434\u043e\u043c \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0435 \u0441\u0442\u0440\u043e\u043a\u0438: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-226\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b270a7e2bb18b56387023c4670dcc5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p> \u0412\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043c\u0435\u043d\u044c\u0448\u0435 -2, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-606df33993eff663c8424997876305fc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-3:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bc746433865b5501da3b6314099bb01c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-(-3)^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b5b9d9f382b11767d19f257afca0019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"> <strong>\u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439<\/strong><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-955e8aaddd8d5a58e402e31d6eb395e2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2 < x < 2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"87\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p>\u0412\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043c\u0435\u0436\u0434\u0443 -2 \u0438 +2, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9f9f2b6ade7cba7797f0b0f6f8ea9e9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-0^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-931ba91d1fc6461c60b7f742213666e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+4\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"23\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"> <strong>\u041f\u043e\u0437\u0438\u0442\u0438\u0432\u043d\u044b\u0439<\/strong><\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-b0d114ca900168936b5c270433aff883_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>2&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;42&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p>\u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u0431\u043e\u043b\u044c\u0448\u0435 2 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-78faef7e9ffed317629cef84fb57deaf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f2b132ec82fca16b3cc92e0fdd698f89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"4-3^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"47\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b5b9d9f382b11767d19f257afca0019_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"> <strong>\u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439<\/strong> <\/p>\n<\/div>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-de-valeur-absolue-definie-par-morceaux.webp\" alt=\"\" class=\"wp-image-224\" width=\"313\" height=\"95\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u041a\u0430\u043a \u043c\u044b \u0432\u0438\u0434\u0435\u043b\u0438, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0431\u044b\u043b\u0430 \u0431\u044b \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043d\u0430 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430\u0445<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3b270a7e2bb18b56387023c4670dcc5f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-2\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<p> \u0418<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d1295f8dec4107bf28044bf4934bda93_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>2.&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;47&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<p> \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0447\u0435\u0440\u0435\u0437 \u0442\u0438\u0440\u0435, \u0438\u0437\u043c\u0435\u043d\u0438\u0432 \u0435\u0435 \u0437\u043d\u0430\u043a \u0432 \u044d\u0442\u0438\u0445 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0430\u0445:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f5f441ea5792fb5cc7ba8300f71defef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 4 - x^2 \\rvert = \\left\\{ \\begin{array}{lcl} -(4-x^2) &amp; \\text{si} &amp;  x<-2 \\\\[2ex] 4-x^2 &amp; \\text{si} &amp; -2 \\le x \\le 2 \\\\[2ex] -(4-x^2) &amp; \\text{si} &amp; x>2 \\end{array} \\right.&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;97&#8243; width=&#187;372&#8243; style=&#187;vertical-align: 0px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-89ab8a514afe36c94d7072efe47ef507_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 4 - x^2 \\rvert = \\left\\{ \\begin{array}{lcl} -4+x^2 &amp; \\text{si} &amp;  x<-2 \\\\[2ex] 4-x^2 &amp; \\text{si} &amp; -2 \\le x \\le 2 \\\\[2ex] -4+x^2 &amp; \\text{si} &amp; x>2 \\end{array} \\right.&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;97&#8243; width=&#187;358&#8243; style=&#187;vertical-align: 0px;&#187;><\/p>\n<\/p>\n<p> \u041e\u0431\u0440\u0430\u0442\u0438\u0442\u0435 \u0432\u043d\u0438\u043c\u0430\u043d\u0438\u0435, \u0447\u0442\u043e \u0432 \u043d\u0435\u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430\u0445 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u043a\u043b\u044e\u0447\u0430\u0442\u044c \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e. \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0437\u0434\u0435\u0441\u044c \u043c\u044b \u043f\u043e\u043c\u0435\u0449\u0430\u0435\u043c \u0435\u0433\u043e \u0432\u043e \u0432\u0442\u043e\u0440\u043e\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-94938ade68a1b5741436de703acf6b11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-2 \\le x \\le 2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"87\" style=\"vertical-align: -3px;\"><\/p>\n<p> . \u041d\u043e \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043c\u0435\u0441\u0442\u0438\u0442\u044c \u0435\u0433\u043e \u0432 \u043b\u044e\u0431\u043e\u0439 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b, \u043a\u043e\u0442\u043e\u0440\u044b\u0439 \u0432\u0430\u043c \u043d\u0443\u0436\u0435\u043d, \u043f\u0440\u0438 \u0443\u0441\u043b\u043e\u0432\u0438\u0438, \u0447\u0442\u043e \u0432\u043e \u0432\u0441\u0435\u0445 \u043a\u0440\u0438\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0445 \u0442\u043e\u0447\u043a\u0430\u0445 \u0441\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e. \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0431\u044b\u043b\u043e \u0431\u044b \u0442\u043e \u0436\u0435 \u0441\u0430\u043c\u043e\u0435, \u0435\u0441\u043b\u0438 \u0431\u044b \u043c\u044b \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5cce3bcc22edb3a7f511cea0a1c32372_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 4 - x^2 \\rvert = \\left\\{ \\begin{array}{lcl} -4+x^2 &amp; \\text{si} &amp;  x\\le-2 \\\\[2ex] 4-x^2 &amp; \\text{si} &amp; -2 < x < 2 \\\\[2ex] -4+x^2 &amp; \\text{si} &amp; x\\ge 2 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"97\" width=\"358\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-representar-una-funcion-con-valor-absoluto\"><\/span> \u041a\u0430\u043a \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c <span class=\"ez-toc-section-end\"><\/span><\/h2>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 30px; border: 2px dashed #FF9B28; border-radius:20px;\">\n<p style=\"text-align:left\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435, \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u043f\u043e\u043b\u043d\u0438\u0442\u044c \u0448\u0430\u0433\u0438, \u043e\u043f\u0438\u0441\u0430\u043d\u043d\u044b\u0435 \u043d\u0438\u0436\u0435:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"> <span style=\"color:#101010;font-weight: normal;\">\u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u044c\u0442\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0442\u0430\u043a, \u043a\u0430\u043a \u0435\u0441\u043b\u0438 \u0431\u044b \u043e\u043d\u0430 \u043d\u0435 \u0438\u043c\u0435\u043b\u0430 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f.<\/span><\/li>\n<li style=\"margin-bottom:10px\"> <span style=\"color:#101010;font-weight: normal;\">\u0412 \u043f\u0440\u043e\u043c\u0435\u0436\u0443\u0442\u043a\u0430\u0445, \u0432 \u043a\u043e\u0442\u043e\u0440\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430, \u0442\u043e \u0435\u0441\u0442\u044c \u043b\u0435\u0436\u0438\u0442 \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 X, \u043d\u0430\u0440\u0438\u0441\u0443\u0439\u0442\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u0423\u0434\u0430\u043b\u0438\u0442\u0435 \u0447\u0430\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 X.<\/span><\/li>\n<\/ol>\n<\/div>\n<p> \u0414\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c \u043f\u0440\u0438\u043c\u0435\u0440 \u0442\u043e\u0433\u043e, \u043a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c.<\/p>\n<ul>\n<li> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6ac35a7caaf00f2d67b2f2b61ff1cd39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x) = \\lvert -x+2 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u0441\u043e\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-07d0ca1f50ca938ab6ea8d7c84a425c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=-x+2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"112\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-229\">\n<div class=\"wp-block-column is-layout-flow\">\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-899f69bd4bed4a335b2dff0b252811d2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0) = -0+2=2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"235\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-df4e009fc12029d53f169038cda9b897_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1) = -1+2=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"235\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<ul>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-663a7471fdab5e88c76b7651786eaca0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2) = -2+2=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"236\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-19ae14984790df8172468f3cf865033b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; 2 \\\\ 1 &amp; 1 \\\\ 2 &amp; 0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"78\" style=\"vertical-align: -40px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p> \u041c\u044b \u043d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u0440\u0438\u0441\u0443\u0435\u043c \u043b\u0438\u043d\u0438\u044e, \u043a\u0430\u043a \u0435\u0441\u043b\u0438 \u0431\u044b \u044d\u0442\u043e \u0431\u044b\u043b\u0430 \u043e\u0431\u044b\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exemple-de-representation-graphique-d-une-fonction-avec-valeur-absolue.webp\" alt=\"\" class=\"wp-image-228\" width=\"330\" height=\"345\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0440\u0438\u0441\u043e\u0432\u0430\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0442\u0430\u043c, \u0433\u0434\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430, \u0442\u043e \u0435\u0441\u0442\u044c \u0442\u0430\u043c, \u0433\u0434\u0435 \u043e\u043d\u0430 \u043b\u0435\u0436\u0438\u0442 \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 x. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043e\u0431\u0440\u0430\u0449\u0430\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e, \u043d\u0430\u0447\u0438\u043d\u0430\u044f \u0441 x=2: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-representer-une-fonction-avec-une-valeur-absolue.webp\" alt=\"\u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c\" class=\"wp-image-229\" width=\"330\" height=\"345\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0443\u0441\u0442\u0440\u0430\u043d\u044f\u0435\u043c \u0441\u043b\u0435\u0434 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u044b\u0439 \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 X: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/comment-representer-graphiquement-une-fonction-avec-valeur-absolue.webp\" alt=\"\u043a\u0430\u043a \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c\" class=\"wp-image-230\" width=\"330\" height=\"345\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u043c\u044b \u0443\u0436\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043b\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c. \u041a\u0430\u043a \u0432\u044b \u0432\u0438\u0434\u0435\u043b\u0438, \u0435\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u043e\u0435, \u0447\u0442\u043e \u043c\u0435\u043d\u044f\u0435\u0442\u0441\u044f, \u044d\u0442\u043e \u0442\u043e, \u0447\u0442\u043e \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0438\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u043e\u0432\u0430\u0442\u044c \u0442\u0443 \u0447\u0430\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0430 \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 OX. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0433\u0440\u0430\u0444\u0438\u043a \u043b\u044e\u0431\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0432\u0441\u0435\u0433\u0434\u0430 \u0431\u0443\u0434\u0435\u0442 \u043b\u0435\u0436\u0430\u0442\u044c \u043d\u0430 \u0441\u0442\u043e\u0440\u043e\u043d\u0435 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u043f\u043e\u043b\u0443\u043e\u0441\u0438 Y.<\/p>\n<p> \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0435\u0441\u043b\u0438 \u0440\u0430\u0441\u0441\u043c\u0430\u0442\u0440\u0438\u0432\u0430\u0442\u044c \u043a\u043e\u043d\u0446\u0435\u043f\u0446\u0438\u0438, \u0438\u0437 \u0433\u0440\u0430\u0444\u0438\u043a\u0430 \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0441\u0434\u0435\u043b\u0430\u0442\u044c \u0432\u044b\u0432\u043e\u0434, \u0447\u0442\u043e \u043e\u0431\u043b\u0430\u0441\u0442\u044c \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u044f \u043f\u0440\u0435\u0434\u044b\u0434\u0443\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043f\u043e\u043b\u043d\u043e\u0441\u0442\u044c\u044e \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0438\u0437 \u0434\u0435\u0439\u0441\u0442\u0432\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b. \u0421 \u0434\u0440\u0443\u0433\u043e\u0439 \u0441\u0442\u043e\u0440\u043e\u043d\u044b, \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0438\u043b\u0438 \u0434\u0438\u0430\u043f\u0430\u0437\u043e\u043d \u0443\u043a\u0430\u0437\u0430\u043d\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0441\u043e\u0441\u0442\u043e\u0438\u0442 \u0442\u043e\u043b\u044c\u043a\u043e \u0438\u0437 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u044b\u0445 \u0447\u0438\u0441\u0435\u043b \u0438 \u043d\u0443\u043b\u0435\u0439. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-funciones-con-valor-absoluto\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 1<\/h3>\n<p> \u0412\u044b\u0440\u0430\u0437\u0438\u0442\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u043a\u0430\u043a \u043a\u0443\u0441\u043e\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a306bf75df46ff859083a78d829b2eef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert -x+3 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"121\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0440\u0435\u0436\u0434\u0435 \u0432\u0441\u0435\u0433\u043e, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c, \u043a\u043e\u0433\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043f\u0440\u0438\u0440\u0430\u0432\u043d\u044f\u0435\u043c \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u043d\u0443\u043b\u044e \u0438 \u0440\u0435\u0448\u0438\u043c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-caf85840d788f1955b02e0f3f36063bc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x+3=0\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"86\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3573bf1ea4c223bb71878796b2106731_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=3\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"43\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u044f\u0435\u043c \u043d\u0430\u0439\u0434\u0435\u043d\u043d\u043e\u0435 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435 \u0432 \u0441\u0442\u0440\u043e\u043a\u0435: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/droite-3.webp\" alt=\"\" class=\"wp-image-232\" width=\"302\" height=\"78\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043e\u0446\u0435\u043d\u0438\u0432\u0430\u0435\u043c \u0442\u043e\u0447\u043a\u0443 \u0432 \u043a\u0430\u0436\u0434\u043e\u043c \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f, \u0447\u0442\u043e\u0431\u044b \u0443\u0437\u043d\u0430\u0442\u044c, \u043a\u0430\u043a\u043e\u0439 \u0437\u043d\u0430\u043a \u043d\u0430 \u0441\u0430\u043c\u043e\u043c \u0434\u0435\u043b\u0435 \u0438\u043c\u0435\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0430 \u043a\u0430\u0436\u0434\u043e\u043c \u0443\u0447\u0430\u0441\u0442\u043a\u0435 \u043b\u0438\u043d\u0438\u0438: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-232\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bdfb122a09ac596aa47b022ad9a5cc2e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"43\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043c\u0435\u043d\u044c\u0448\u0435 3 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e0890b48bc15998d8216ddd2db16176_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-0+3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7ad711b28c93c6ada0e5fe5a1e230fd6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"23\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"> <strong>\u041f\u043e\u0437\u0438\u0442\u0438\u0432\u043d\u044b\u0439<\/strong> <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d3b36e158b8f20164d896b9a7d17fa50_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>3&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;14&#8243; width=&#187;43&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u0431\u043e\u043b\u044c\u0448\u0435 3 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-914939b505e8fbb8d2291b61e8ddacd4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=4:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-365613a847808487cd660349f0d88231_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-4+3\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"52\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7b34c01098c83fa602de54e9d74d63a9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"> <strong>\u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439<\/strong> <\/p>\n<\/div>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0424\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0432 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0435 x&gt;3. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0442\u0438\u0440\u0435, \u0438\u0437\u043c\u0435\u043d\u0438\u0432 \u0435\u0435 \u0437\u043d\u0430\u043a \u043d\u0430 \u044d\u0442\u043e\u043c \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-f7cfaaff9890b356f1db6805ed94dbb8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert -x+3 \\rvert = \\left\\{ \\begin{array}{lcl} -x+3 &amp; \\text{si} &amp;  x<3 \\\\[2ex] -(-x+3) &amp; \\text{si} &amp; x\\ge 3 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"339\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d249715b500ad03c44ab6ab5838e32e8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert -x+3 \\rvert = \\left\\{ \\begin{array}{lcl} -x+3 &amp; \\text{si} &amp;  x<3 \\\\[2ex] x-3 &amp; \\text{si} &amp; x\\ge 3 \\end{array} \\right.\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"311\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 2<\/h3>\n<p> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u043a\u0443\u0441\u043e\u0447\u043d\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9a05487d49fb84ce6ef5691091ea0e16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert 3x^2-75 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"132\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041f\u0435\u0440\u0432\u043e\u0435, \u0447\u0442\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0441\u0434\u0435\u043b\u0430\u0442\u044c, \u044d\u0442\u043e \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c, \u043a\u043e\u0433\u0434\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0443\u0441\u0442\u0430\u043d\u043e\u0432\u0438\u0442\u044c \u0430\u0440\u0433\u0443\u043c\u0435\u043d\u0442 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0440\u0430\u0432\u043d\u044b\u043c \u043d\u0443\u043b\u044e \u0438 \u0440\u0435\u0448\u0438\u0442\u044c \u0443\u0440\u0430\u0432\u043d\u0435\u043d\u0438\u0435: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3dea6ef962a9ef19fed07ffc42194797_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2-75 =0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"99\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0f850afc61e0d8da071a928826cee7a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3x^2=75\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"67\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-2ee995a97565c553840729396879d33a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=\\cfrac{75}{3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"61\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-722346ebf4c6fa29627e6c3189f406d4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x^2=25\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"58\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0095a5e0cc77221e389830d2046988f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= \\pm 5\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"56\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u043c \u043a\u043e\u0440\u043d\u0438 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0439 \u0441\u043f\u0440\u0430\u0432\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/droite-5-5.webp\" alt=\"\" class=\"wp-image-234\" width=\"315\" height=\"81\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418 \u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a\u043e\u0439 \u0437\u043d\u0430\u043a \u0438\u043c\u0435\u0435\u0442 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0432 \u043a\u0430\u0436\u0434\u043e\u043c \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0435 \u0441\u0442\u0440\u043e\u043a\u0438: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-236\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fb21c501adb6d0ac477d922cfe7ba579_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x<-5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"56\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043c\u0435\u043d\u044c\u0448\u0435 -5. <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5a9f948cb7fcd7e26f3b052666a5866f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=-6:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"65\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d130a71c02d5d34ac0ad1d79f406110e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3(-6)^2-75\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"92\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acb15a08fb22f197fa38671d82d61495_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"108-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"64\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d2ec2bba7f22d0801303e5b30291d8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+33\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"32\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"> <strong>\u041f\u043e\u0437\u0438\u0442\u0438\u0432\u043d\u044b\u0439<\/strong> <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-692e9f07ae0a137e650d3ffbfbb3c284_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-5 < x < 5\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"87\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u043c\u0435\u0436\u0434\u0443 -5 \u0438 +5, \u043d\u0430\u043f\u0440\u0438\u043c\u0435\u0440 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d762821a7c6da83f02380639f43ef8fd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ad4c6a351daf3b196191010b15771ea4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3(0)^2-75\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"78\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-12a5e0a89f5c8fd323506dcc6bed3bef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ee14baf45888876e0c15a59d9ef5d977_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"30\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#ec7063\"> <strong>\u041e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u044b\u0439<\/strong> <\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bb012de735ca62479fbbdd0ea29b076a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x>5&#8243; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;15&#8243; width=&#187;42&#8243; style=&#187;vertical-align: -2px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0432\u043e\u0437\u044c\u043c\u0435\u043c \u043b\u044e\u0431\u0443\u044e \u0442\u043e\u0447\u043a\u0443 \u0431\u043e\u043b\u044c\u0448\u0435 5 <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-fa0fdbf265606b98cc79a55a73a98626_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=6:\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"52\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd19374f9a2d9ea68c404ad190740dda_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"3(6)^2-75\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"78\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-acb15a08fb22f197fa38671d82d61495_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"108-75\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"64\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d2ec2bba7f22d0801303e5b30291d8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"+33\" title=\"Rendered by QuickLaTeX.com\" height=\"14\" width=\"32\" style=\"vertical-align: -2px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center has-text-color\" style=\"color:#52be80\"> <strong>\u041f\u043e\u0437\u0438\u0442\u0438\u0432\u043d\u044b\u0439<\/strong> <\/p>\n<\/div>\n<\/div>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/positif-negatif-positif-5-5.webp\" alt=\"\" class=\"wp-image-235\" width=\"321\" height=\"97\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0431\u0443\u0434\u0435\u0442 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0439 \u0442\u043e\u043b\u044c\u043a\u043e \u0432 \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0435 -5&lt;x&lt;5. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u0432\u044b\u0440\u0430\u0437\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0432 \u0447\u0430\u0441\u0442\u044f\u0445, \u0438\u0437\u043c\u0435\u043d\u0438\u0432 \u0442\u043e\u043b\u044c\u043a\u043e \u0437\u043d\u0430\u043a \u044d\u0442\u043e\u0433\u043e \u0438\u043d\u0442\u0435\u0440\u0432\u0430\u043b\u0430: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9e0fad2e3a9e1a6d1edcde507e60230b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 3x^2-75 \\rvert = \\left\\{ \\begin{array}{lcl} 3x^2-75 &amp; \\text{si} &amp;  x<-5 \\\\[2ex] -(3x^2-75) &amp; \\text{si} &amp; -5 \\le x \\le 5 \\\\[2ex] 3x^2-75 &amp; \\text{si} &amp; x>5 \\end{array} \\right.&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;97&#8243; width=&#187;408&#8243; style=&#187;vertical-align: 0px;&#187;><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-5f9638fe87ad09d7dbcdb8e30a16688f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)= \\lvert 3x^2-75 \\rvert = \\left\\{ \\begin{array}{lcl} 3x^2-75 &amp; \\text{si} &amp;  x<-5 \\\\[2ex] -3x^2+75 &amp; \\text{si} &amp; -5 \\le x \\le 5 \\\\[2ex] 3x^2-75 &amp; \\text{si} &amp; x>5 \\end{array} \\right.&#187; title=&#187;Rendered by QuickLaTeX.com&#187; height=&#187;97&#8243; width=&#187;394&#8243; style=&#187;vertical-align: 0px;&#187;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3<\/h3>\n<p> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4b6608e02a73b79472f3b74cb86a193b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert 2x-6 \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"116\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u0432\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-522333e60d963eb0bd568e139e2352d7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= 2x+6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e \u0430\u0444\u0444\u0438\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u043e\u0441\u0442\u0440\u043e\u0438\u0442\u044c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439, \u0447\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0435\u0435 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u0438: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-239\">\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7c6c0b962f71d70918f47738c0e8b673_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=0 \\longrightarrow f(0)=2\\cdot 0-6=-6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"246\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7168f131fd26ff86b6b14c4eaac6f70b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=1 \\longrightarrow f(1)=2\\cdot 1-6=-4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"246\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-393434f371c54ee9606e43ba4fa81ed1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x=2 \\longrightarrow f(2)=2\\cdot 2-6=-2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"245\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-84132eafe4f43f962124fbc702b2e141_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 0 &amp; -6 \\\\ 1 &amp; -4 \\\\ 2 &amp; -2 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"90\" width=\"78\" style=\"vertical-align: -40px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u043f\u0440\u043e\u0432\u043e\u0434\u0438\u043c \u043b\u0438\u043d\u0438\u044e: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-3-fonction-avec-valeur-absolue-1.webp\" alt=\"\u0440\u0435\u0448\u0435\u043d\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f 1\" class=\"wp-image-236\" width=\"311\" height=\"465\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043d\u0430\u0440\u0438\u0441\u043e\u0432\u0430\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0442\u0430\u043c, \u0433\u0434\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430, \u0442.\u0435. \u0442\u0430\u043c, \u0433\u0434\u0435 \u043e\u043d\u0430 \u043b\u0435\u0436\u0438\u0442 \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 X. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u0438\u043d\u0432\u0435\u0440\u0442\u0438\u0440\u0443\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043e\u0442 x=3 \u043d\u0430\u0437\u0430\u0434: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercice-resolu-3-fonction-avec-valeur-absolue-2.webp\" alt=\"\u0440\u0435\u0448\u0435\u043d\u043e \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 3, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f 2\" class=\"wp-image-237\" width=\"318\" height=\"467\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0438\u0441\u043a\u043b\u044e\u0447\u0438\u043c \u0442\u0443 \u0447\u0430\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u0430 \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 X: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-fonctions-avec-valeur-absolue.webp\" alt=\"\u0440\u0435\u0448\u0435\u043d\u044b \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u043d\u0430 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\" class=\"wp-image-238\" width=\"319\" height=\"472\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> \u0423\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u0435 4<\/h3>\n<p> \u041f\u043e\u0441\u0442\u0440\u043e\u0439\u0442\u0435 \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0438: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a414e839c3eae1d16570626e4abe3a9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= \\lvert x^2-4x \\rvert\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"125\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__E6F9EF\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#E6F9EF\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u041f\u043e\u0441\u043c\u043e\u0442\u0440\u0435\u0442\u044c \u0440\u0435\u0448\u0435\u043d\u0438\u0435<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u0427\u0442\u043e\u0431\u044b \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u043d\u0430\u0440\u0438\u0441\u043e\u0432\u0430\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0431\u0435\u0437 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-dfb07d438abe691fec156b4369787c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)= x^2-4x\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"117\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u042d\u0442\u043e \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f. \u0421\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0447\u0442\u043e\u0431\u044b \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c, \u043c\u044b \u0434\u043e\u043b\u0436\u043d\u044b \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442\u0443 X \u0432\u0435\u0440\u0448\u0438\u043d\u044b \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u044b \u043f\u043e \u0435\u0435 \u0444\u043e\u0440\u043c\u0443\u043b\u0435:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-61c82defabdf76c062dd1b778b419788_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x = \\cfrac{-b}{2a} = \\cfrac{-(-4)}{2\\cdot 1} = \\cfrac{+4}{2} = 2\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"236\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u0441\u043e\u0437\u0434\u0430\u0434\u0438\u043c \u0442\u0430\u0431\u043b\u0438\u0446\u0443 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439. \u0414\u043b\u044f \u044d\u0442\u043e\u0433\u043e \u0440\u0430\u0441\u0441\u0447\u0438\u0442\u0430\u0435\u043c \u0441\u0442\u043e\u0438\u043c\u043e\u0441\u0442\u044c<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a7ee323bc5a3f73ad5e066b13bed5504_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"34\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0432\u0432\u0435\u0440\u0445\u0443 \u0438 \u0432\u043e\u043a\u0440\u0443\u0433 \u0432\u0435\u0440\u0445\u0430: <\/p>\n<div class=\"wp-block-columns is-layout-flex wp-container-242\">\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:66.66%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-6a369a696b68e4dc4f772787083a6219_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 2 \\ \\longrightarrow \\ f(2)=2^2-4\\cdot 2 = -4\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-3a1686d490d3c2134822c992a0171583_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 1 \\ \\longrightarrow \\ f(1)=1^2-4\\cdot 1 = -3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-13de70296eef5ec210b22fb15e6dbeab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 3 \\ \\longrightarrow \\ f(3)=3^2-4\\cdot 3 = -3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d7b0ade8cdebba0cf2629a58eca44566_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 0 \\ \\longrightarrow \\ f(0)=0^2-4\\cdot 0 = 0 -0  = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"314\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7e954f33f94f7693984b33e8fb9c1e01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x= 4 \\ \\longrightarrow \\ f(4)=4^2-4\\cdot 4 = 0\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"251\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/div>\n<div class=\"wp-block-column is-layout-flow\" style=\"flex-basis:33.33%\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-9047cec1226234f74cd24aeaa734a15e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c|c} x &amp; f(x) \\\\ \\hline 2 &amp; -4 \\\\ 1 &amp; -3 \\\\ 3 &amp; -3 \\\\ 0 &amp; 0 \\\\ 4 &amp; 0 \\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"134\" width=\"78\" style=\"vertical-align: -62px;\"><\/p>\n<\/p>\n<\/div>\n<\/div>\n<p class=\"has-text-align-left\"> \u041d\u0430\u043d\u043e\u0441\u0438\u043c \u0442\u043e\u0447\u043a\u0438 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a \u0438 \u0440\u0438\u0441\u0443\u0435\u043c \u043f\u0430\u0440\u0430\u0431\u043e\u043b\u0443: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/cropped-icon-polynomials.jpg.jpg\" alt=\"\u043f\u0440\u0438\u043c\u0435\u0440\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\" class=\"wp-image-239\" width=\"319\" height=\"448\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0422\u0435\u043f\u0435\u0440\u044c \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043f\u0435\u0440\u0435\u0432\u0435\u0441\u0442\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u043f\u043e \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0442\u0443\u0434\u0430, \u0433\u0434\u0435 \u043e\u043d\u0430 \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u0430, \u0442\u043e \u0435\u0441\u0442\u044c \u0442\u0430\u043c, \u0433\u0434\u0435 \u043e\u043d\u0430 \u043d\u0430\u0445\u043e\u0434\u0438\u0442\u0441\u044f \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 OX. \u041f\u043e\u044d\u0442\u043e\u043c\u0443 \u043c\u044b \u043f\u0435\u0440\u0435\u0432\u043e\u0440\u0430\u0447\u0438\u0432\u0430\u0435\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0441 x=0 \u043d\u0430 x=4: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/fonction-avec-valeur-absolue-du-degre-2.webp\" alt=\"\u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u043c \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0435\u043c \u0441\u0442\u0435\u043f\u0435\u043d\u0438 2\" class=\"wp-image-240\" width=\"319\" height=\"443\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<p class=\"has-text-align-left\"> \u0418, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0443\u0434\u0430\u043b\u044f\u0435\u043c \u0447\u0430\u0441\u0442\u044c \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0440\u0430\u0441\u043f\u043e\u043b\u043e\u0436\u0435\u043d\u043d\u0443\u044e \u043d\u0438\u0436\u0435 \u043e\u0441\u0438 X: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-etape-par-etape-des-fonctions-a-valeur-absolue.webp\" alt=\"\u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f, \u0440\u0435\u0448\u0430\u0435\u043c\u044b\u0435 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f\" class=\"wp-image-241\" width=\"319\" height=\"446\" srcset=\"\" sizes=\"auto, \" data-src=\"\"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u041d\u0430 \u044d\u0442\u043e\u0439 \u0441\u0442\u0440\u0430\u043d\u0438\u0446\u0435 \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u0442\u0441\u044f, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0443\u0437\u043d\u0430\u0435\u0442\u0435, \u043a\u0430\u043a \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u043a\u0443\u0441\u043e\u0447\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u0438 \u043a\u0430\u043a \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u0438\u0442\u044c \u044d\u0442\u0438 \u0442\u0438\u043f\u044b \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u043d\u0430 \u0433\u0440\u0430\u0444\u0438\u043a\u0435. \u041a\u0440\u043e\u043c\u0435 \u0442\u043e\u0433\u043e, \u0432\u044b \u0443\u0432\u0438\u0434\u0438\u0442\u0435 \u044d\u0442\u043e \u043d\u0430 \u043f\u0440\u0438\u043c\u0435\u0440\u0430\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u044b\u0445 \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u0439 \u0438 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u044f \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f \u0438 \u0440\u0435\u0448\u0430\u044f \u0437\u0430\u0434\u0430\u0447\u0438 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0437\u043d\u0430\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438? \u041e\u043f\u0440\u0435\u0434\u0435\u043b\u0435\u043d\u0438\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%84%d1%83%d0%bd%d0%ba%d1%86%d0%b8%d0%b8-%d1%81-%d0%b0%d0%b1%d1%81%d0%be%d0%bb%d1%8e%d1%82%d0%bd%d1%8b%d0%bc-%d0%b7%d0%bd%d0%b0%d1%87%d0%b5%d0%bd%d0%b8%d0%b5%d0%bc\/\"> <span class=\"screen-reader-text\">\u0424\u0443\u043d\u043a\u0446\u0438\u0438 \u0430\u0431\u0441\u043e\u043b\u044e\u0442\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 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