{"id":371,"date":"2023-07-04T10:44:29","date_gmt":"2023-07-04T10:44:29","guid":{"rendered":"https:\/\/mathority.org\/ru\/%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%8f-%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%b8-%d0%b0%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87\/"},"modified":"2023-07-04T10:44:29","modified_gmt":"2023-07-04T10:44:29","slug":"%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%8f-%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%b8-%d0%b0%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87","status":"publish","type":"post","link":"https:\/\/mathority.org\/ru\/%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%8f-%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%b8-%d0%b0%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87\/","title":{"rendered":"\u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438: \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0438 \u0430\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f"},"content":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 (\u0447\u0435\u0442\u043d\u044b\u0435 \u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438) \u0438 \u043a\u0430\u043a \u0438\u0437\u0443\u0447\u0430\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u0438\u0445 \u0442\u0438\u043f\u043e\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u044e\u0449\u0438\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-simetrica\"><\/span> \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u2014 \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0432 \u0435\u0435 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 \u043e\u0441\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438.<\/strong> \u0421\u0443\u0449\u0435\u0441\u0442\u0432\u0443\u0435\u0442 \u0434\u0432\u0430 \u0442\u0438\u043f\u0430 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439: \u0447\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y, \u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442.<\/p>\n<p> \u041f\u043e\u043c\u043d\u0438\u0442\u0435, \u0447\u0442\u043e \u043e\u0441\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u2014 \u044d\u0442\u043e \u0432\u043e\u043e\u0431\u0440\u0430\u0436\u0430\u0435\u043c\u0430\u044f \u043b\u0438\u043d\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u0434\u0435\u043b\u0438\u0442 \u0447\u0442\u043e-\u043b\u0438\u0431\u043e \u043d\u0430 \u0434\u0432\u0435 \u0447\u0430\u0441\u0442\u0438 \u0442\u0430\u043a, \u0447\u0442\u043e \u0438\u0445 \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u044b\u0435 \u0442\u043e\u0447\u043a\u0438 \u043d\u0430\u0445\u043e\u0434\u044f\u0442\u0441\u044f \u043d\u0430 \u0440\u0430\u0432\u043d\u043e\u043c \u0440\u0430\u0441\u0441\u0442\u043e\u044f\u043d\u0438\u0438 \u0434\u0440\u0443\u0433 \u043e\u0442 \u0434\u0440\u0443\u0433\u0430.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funciones-pares\"><\/span> \u0434\u0430\u0436\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0427\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong> \u2014 \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y, \u0442\u043e \u0435\u0441\u0442\u044c \u043e\u0441\u044c Y \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0441\u044c\u044e \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \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\/fonction-paire-symetrique.webp\" alt=\"\u0447\u0435\u0442\u043d\u0430\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f\" class=\"wp-image-497\" width=\"406\" height=\"333\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u041a\u0430\u043a \u0432\u0438\u0434\u043d\u043e \u0438\u0437 \u043f\u0440\u0438\u0432\u0435\u0434\u0435\u043d\u043d\u043e\u0439 \u0432\u044b\u0448\u0435 \u043a\u0432\u0430\u0434\u0440\u0430\u0442\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043e\u0431\u0440\u0430\u0437 \u0447\u0435\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0434\u043b\u044f \u043b\u044e\u0431\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f \u043d\u0435\u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0439 \u043f\u0435\u0440\u0435\u043c\u0435\u043d\u043d\u043e\u0439 (x) \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u0435\u043d \u043e\u0431\u0440\u0430\u0437\u0443 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0434\u043b\u044f \u043f\u0440\u043e\u0442\u0438\u0432\u043e\u043f\u043e\u043b\u043e\u0436\u043d\u043e\u0433\u043e \u0437\u043d\u0430\u0447\u0435\u043d\u0438\u044f (-x). \u0414\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0447\u0435\u0442\u043d\u043e\u0439, \u0435\u0441\u043b\u0438 \u043e\u043d\u0430 \u0443\u0434\u043e\u0432\u043b\u0435\u0442\u0432\u043e\u0440\u044f\u0435\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u043c\u0443 \u0443\u0441\u043b\u043e\u0432\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-172e0423721041e36ff0b24faafbfd94_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=f(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0427\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u2014 \u044d\u0442\u043e \u0440\u0430\u0437\u043d\u043e\u0432\u0438\u0434\u043d\u043e\u0441\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439, \u0442\u0435\u043f\u0435\u0440\u044c \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u043e\u0441\u043c\u043e\u0442\u0440\u0438\u043c, \u043a\u0430\u043a \u0432\u044b\u0433\u043b\u044f\u0434\u044f\u0442 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funciones-impares\"><\/span> \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u041d\u0435\u0447\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<\/strong> \u2014 \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, \u0442\u043e \u0435\u0441\u0442\u044c \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u0442\u043e\u0447\u043a\u0438 (0,0).<\/p>\n<p> \u041d\u0438\u0436\u0435 \u0432\u044b \u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0433\u0440\u0430\u0444\u0438\u043a \u0441\u0442\u0440\u0430\u043d\u043d\u043e\u0439 \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\/fonction-symetrique-impaire.webp\" alt=\"\u043d\u0435\u0447\u0435\u0442\u043d\u0430\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f\" class=\"wp-image-501\" width=\"337\" height=\"283\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> \u0422\u043e\u0442 \u0444\u0430\u043a\u0442, \u0447\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, \u043e\u0437\u043d\u0430\u0447\u0430\u0435\u0442, \u0447\u0442\u043e \u0435\u0441\u043b\u0438 \u043c\u044b \u0441\u0432\u0435\u0440\u043d\u0435\u043c \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0441\u043d\u0430\u0447\u0430\u043b\u0430 \u0447\u0435\u0440\u0435\u0437 \u043e\u0441\u044c OY, \u0430 \u0437\u0430\u0442\u0435\u043c \u0447\u0435\u0440\u0435\u0437 \u043e\u0441\u044c OX, \u0433\u0440\u0430\u0444\u0438\u043a \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043f\u0435\u0440\u0435\u043a\u0440\u043e\u0435\u0442\u0441\u044f.<\/p>\n<p> \u0421 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0442\u043e\u0447\u043a\u0438 \u0437\u0440\u0435\u043d\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439, \u0435\u0441\u043b\u0438 \u043c\u0435\u0436\u0434\u0443 \u0435\u0435 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f\u043c\u0438 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0441\u043e\u043e\u0442\u043d\u043e\u0448\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-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0417\u043d\u0430\u043d\u0438\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043e\u0447\u0435\u043d\u044c \u043f\u043e\u043b\u0435\u0437\u043d\u043e \u0434\u043b\u044f \u0435\u0435 \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u044f, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443, \u0437\u043d\u0430\u044f \u0442\u043e\u043b\u044c\u043a\u043e \u043e\u0434\u043d\u0443 \u043f\u043e\u043b\u043e\u0432\u0438\u043d\u0443 \u0433\u0440\u0430\u0444\u0438\u043a\u0430, \u043c\u044b \u043c\u043e\u0436\u0435\u043c \u0431\u044b\u0441\u0442\u0440\u043e \u043d\u0430\u0440\u0438\u0441\u043e\u0432\u0430\u0442\u044c \u0434\u0440\u0443\u0433\u0443\u044e \u0447\u0430\u0441\u0442\u044c. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-encontrar-la-simetria-de-una-funcion\"><\/span> \u041a\u0430\u043a \u043d\u0430\u0439\u0442\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0414\u043b\u044f \u0438\u0437\u0443\u0447\u0435\u043d\u0438\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u043e\u0431\u0440\u0430\u0437<\/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-6cacb15a7aa187378723791e7a017ae0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> , \u0442\u043e \u0435\u0441\u0442\u044c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bd521f71755c9567516ac45b1eba345d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"53\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u0418\u0442\u0430\u043a, \u0432 \u0437\u0430\u0432\u0438\u0441\u0438\u043c\u043e\u0441\u0442\u0438 \u043e\u0442 \u0440\u0435\u0437\u0443\u043b\u044c\u0442\u0430\u0442\u0430 \u0438\u0437\u043e\u0431\u0440\u0430\u0436\u0435\u043d\u0438\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0431\u0443\u0434\u0435\u0442:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">\u0435\u0441\u043b\u0438 \u043e\u043d \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-69fe4f45354bb04cba2f1a80e49b8ab3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> , \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0447\u0435\u0442\u043d\u0430\u044f \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e <strong>, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y.<\/strong><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">\u0435\u0441\u043b\u0438 \u043e\u043d \u0437\u0430\u043f\u043e\u043b\u043d\u0435\u043d\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<p><\/span> , \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u0430\u044f \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e <strong>, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442.<\/strong><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u0415\u0441\u043b\u0438 \u043d\u0438 \u043e\u0434\u043d\u043e \u0438\u0437 \u0432\u044b\u0448\u0435\u043f\u0435\u0440\u0435\u0447\u0438\u0441\u043b\u0435\u043d\u043d\u044b\u0445 \u0443\u0441\u043b\u043e\u0432\u0438\u0439 \u043d\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u0435\u043d\u043e, \u044d\u0442\u043e <strong>\u0430\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/strong> (\u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043e\u0441\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438).<\/span><\/li>\n<\/ol>\n<p> \u041d\u0430\u043f\u0440\u0438\u043c\u0435\u0440, \u0434\u0430\u0432\u0430\u0439\u0442\u0435 \u043f\u0440\u043e\u0430\u043d\u0430\u043b\u0438\u0437\u0438\u0440\u0443\u0435\u043c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u043a\u0443\u0431\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\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-48fa60d3a7464594867a0a86e312957e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"75\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0414\u043b\u044f \u0438\u0437\u0443\u0447\u0435\u043d\u0438\u044f \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-366b0475a5979e0194fbfe634bf6de8c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=(-x)^3=-x^3\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"172\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u041f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0430\u043b\u0433\u0435\u0431\u0440\u0430\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u043e \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u043c\u0443 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u043e \u0438\u0437\u043c\u0435\u043d\u0438\u043b\u043e \u0437\u043d\u0430\u043a, \u0438\u043b\u0438, \u0434\u0440\u0443\u0433\u0438\u043c\u0438 \u0441\u043b\u043e\u0432\u0430\u043c\u0438, \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \u0440\u0430\u0432\u0435\u043d\u0441\u0442\u0432\u043e:<\/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-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u0430 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 (0,0). <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-funciones-simetricas\"><\/span> \u0421\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u0438\u043c\u0435\u044e\u0442 \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0438\u0435 \u0445\u0430\u0440\u0430\u043a\u0442\u0435\u0440\u0438\u0441\u0442\u0438\u043a\u0438:<\/p>\n<ul>\n<li> \u0421\u0443\u043c\u043c\u0430 \u0434\u0432\u0443\u0445 \u0447\u0435\u0442\u043d\u044b\u0445\/\u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0440\u0430\u0432\u043d\u0430 \u0434\u0440\u0443\u0433\u043e\u0439 \u0447\u0435\u0442\u043d\u043e\u0439\/\u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/li>\n<li> \u041f\u0440\u043e\u0438\u0437\u0432\u0435\u0434\u0435\u043d\u0438\u0435 \u0434\u0432\u0443\u0445 \u0447\u0435\u0442\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438\u043b\u0438 \u0434\u0432\u0443\u0445 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0434\u0430\u0435\u0442 \u0447\u0435\u0442\u043d\u0443\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u044e.<\/li>\n<li> \u041f\u0440\u043e\u0438\u0437\u0432\u043e\u0434\u043d\u0430\u044f \u0447\u0435\u0442\u043d\u043e\u0439\/\u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0447\u0435\u0442\u043d\u043e\u0439\/\u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439.<\/li>\n<li> \u041a\u043e\u043c\u043f\u043e\u0437\u0438\u0446\u0438\u044f \u0434\u0432\u0443\u0445 \u0447\u0435\u0442\u043d\u044b\u0445\/\u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0445 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u044d\u043a\u0432\u0438\u0432\u0430\u043b\u0435\u043d\u0442\u043d\u0430 \u0447\u0435\u0442\u043d\u043e\u0439\/\u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0438.<\/li>\n<li> \u0415\u0434\u0438\u043d\u0441\u0442\u0432\u0435\u043d\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u043a\u043e\u0442\u043e\u0440\u0430\u044f \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u043e\u0434\u043d\u043e\u0432\u0440\u0435\u043c\u0435\u043d\u043d\u043e \u0447\u0435\u0442\u043d\u043e\u0439 \u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u043e\u0439, \u0442\u043e \u0435\u0441\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e\u0439 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 OY \u0438 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442, &#8212; \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-ae937c042e388c1f5126fceae07be7ab_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=0.\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"><\/p>\n<\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-simetria-de-una-funcion\"><\/span> \u0420\u0435\u0448\u0435\u043d\u043d\u044b\u0435 \u0437\u0430\u0434\u0430\u0447\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438<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> \u041d\u0430\u0439\u0434\u0438\u0442\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\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-8f0d88e3094dddc6ab16ffb8050c2322_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=x^4+5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"124\" 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>\u043f\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 \u0432\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u043d\u0430\u043c \u043d\u0443\u0436\u043d\u043e \u043e\u0446\u0435\u043d\u0438\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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-0638490da136ce7f3f1db6df387f795d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=(-x)^4+5(-x)^2=x^4+5x^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"282\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u041b\u044e\u0431\u0430\u044f \u0441\u0442\u0435\u043f\u0435\u043d\u044c \u043e\u0442\u0440\u0438\u0446\u0430\u0442\u0435\u043b\u044c\u043d\u043e\u0433\u043e \u0447\u0438\u0441\u043b\u0430, \u0432\u043e\u0437\u0432\u0435\u0434\u0435\u043d\u043d\u0430\u044f \u0432 \u043f\u043e\u043a\u0430\u0437\u0430\u0442\u0435\u043b\u044c \u0441\u0442\u0435\u043f\u0435\u043d\u0438, \u0434\u0430\u0435\u0442 \u043f\u043e\u043b\u043e\u0436\u0438\u0442\u0435\u043b\u044c\u043d\u043e\u0435 \u0447\u0438\u0441\u043b\u043e, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u0432\u0435\u0440\u043d\u043e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \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-69fe4f45354bb04cba2f1a80e49b8ab3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0447\u0435\u0442\u043d\u0430\u044f \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043e\u0441\u0438 Y (\u043e\u0441\u0438 Y).<\/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> \u0418\u0437\u0443\u0447\u0438\u0442\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0440\u0430\u0446\u0438\u043e\u043d\u0430\u043b\u044c\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\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-cd9980769711cd7d60ab43abc8980a62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=\\cfrac{7x^2}{3+x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"109\" style=\"vertical-align: -14px;\"><\/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>\u043f\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 \u043e\u043f\u0440\u0435\u0434\u0435\u043b\u0438\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438, \u0441\u0434\u0435\u043b\u0430\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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-3e174da9d0885640cf0a46a067f168b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=\\cfrac{7(-x)^2}{3+(-x)^3}=\\cfrac{7x^2}{3-x^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"46\" width=\"224\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u0439 \u0437\u0430\u0434\u0430\u0447\u0435 \u0443\u0441\u043b\u043e\u0432\u0438\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u043d\u0435 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f, \u043f\u043e\u0441\u043a\u043e\u043b\u044c\u043a\u0443 \u043e\u0431\u0440\u0430\u0437<\/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-6cacb15a7aa187378723791e7a017ae0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-x\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"23\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u043d\u0435 \u0440\u0430\u0432\u0435\u043d<\/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> \u043d\u0438 \u0434\u043b\u044f<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9e2fee8a3b8710948027f726423744e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"-f(x).\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"51\" 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-7fb6e0b7763fede35f54312032556e17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)\\neq f(x)\\neq -f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"177\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435 \u0438\u043c\u0435\u0435\u0442 \u043e\u0441\u0438 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438, \u0430 \u044f\u0432\u043b\u044f\u0435\u0442\u0441\u044f \u0441\u043a\u043e\u0440\u0435\u0435 \u0430\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u043e\u0439 \u0444\u0443\u043d\u043a\u0446\u0438\u0435\u0439.<\/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> \u0412\u044b\u0447\u0438\u0441\u043b\u0438\u0442\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0439 \u0444\u0443\u043d\u043a\u0446\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-4e99b7b72b9ed93abde170a685bf8562_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=2x|x|\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"95\" 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>\u043f\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\"> \u0414\u043b\u044f \u0430\u043d\u0430\u043b\u0438\u0437\u0430 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0438 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 \u043d\u0430\u043c \u043d\u0435\u043e\u0431\u0445\u043e\u0434\u0438\u043c\u043e \u0432\u044b\u0447\u0438\u0441\u043b\u0438\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-b7553f1b0f7cfc52e705cd1f9908e848_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x):\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"57\" 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-d939238f353c0ab70492a66466dd0569_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}f(-x)&amp;=2(-x)|(-x)|\\\\[2ex]&amp;=-2x|-x|\\\\[2ex]&amp;=-2x|x|\\\\[2ex]&amp;=-(2x|x|)\\\\[2ex]&amp;=-f(x)\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"187\" width=\"165\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0412 \u044d\u0442\u043e\u043c \u0441\u043b\u0443\u0447\u0430\u0435 \u043f\u043e\u043b\u0443\u0447\u0435\u043d\u043d\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435 \u043f\u043e\u0445\u043e\u0436\u0435 \u043d\u0430 \u0438\u0441\u0445\u043e\u0434\u043d\u043e\u0435 \u0432\u044b\u0440\u0430\u0436\u0435\u043d\u0438\u0435, \u043d\u043e \u0441 \u0438\u0437\u043c\u0435\u043d\u0435\u043d\u0438\u0435\u043c \u0437\u043d\u0430\u043a\u0430, \u043f\u043e\u044d\u0442\u043e\u043c\u0443 \u0432\u044b\u043f\u043e\u043b\u043d\u044f\u0435\u0442\u0441\u044f \u0441\u043b\u0435\u0434\u0443\u044e\u0449\u0435\u0435 \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-a0bd80551468e58d0a6cf4dd8ba928dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(-x)=-f(x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"119\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0422\u0430\u043a\u0438\u043c \u043e\u0431\u0440\u0430\u0437\u043e\u043c, \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u043d\u0435\u0447\u0435\u0442\u043d\u0430 \u0438, \u0441\u043b\u0435\u0434\u043e\u0432\u0430\u0442\u0435\u043b\u044c\u043d\u043e, \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430 \u043e\u0442\u043d\u043e\u0441\u0438\u0442\u0435\u043b\u044c\u043d\u043e \u043d\u0430\u0447\u0430\u043b\u0430 \u043a\u043e\u043e\u0440\u0434\u0438\u043d\u0430\u0442 (0,0).<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u0412 \u044d\u0442\u043e\u0439 \u0441\u0442\u0430\u0442\u044c\u0435 \u043c\u044b \u043e\u0431\u044a\u044f\u0441\u043d\u044f\u0435\u043c, \u0447\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438 (\u0447\u0435\u0442\u043d\u044b\u0435 \u0438 \u043d\u0435\u0447\u0435\u0442\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438) \u0438 \u043a\u0430\u043a \u0438\u0437\u0443\u0447\u0430\u0442\u044c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044e \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u0438\u0445 \u0442\u0438\u043f\u043e\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u044e\u0449\u0438\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f? \u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u2014 \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0432 \u0435\u0435 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ru\/%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%8f-%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87%d0%bd%d0%be%d0%b8-%d0%b8-%d0%b0%d1%81%d0%b8%d0%bc%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%87\/\"> <span class=\"screen-reader-text\">\u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438: \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0438 \u0430\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f<\/span> \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[17],"tags":[],"class_list":["post-371","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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\u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0412\u044b \u0442\u0430\u043a\u0436\u0435 \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u0443\u0432\u0438\u0434\u0435\u0442\u044c \u0441\u0432\u043e\u0439\u0441\u0442\u0432\u0430 \u044d\u0442\u0438\u0445 \u0442\u0438\u043f\u043e\u0432 \u0444\u0443\u043d\u043a\u0446\u0438\u0439 \u0438, \u043d\u0430\u043a\u043e\u043d\u0435\u0446, \u0441\u043c\u043e\u0436\u0435\u0442\u0435 \u043f\u043e\u043f\u0440\u0430\u043a\u0442\u0438\u043a\u043e\u0432\u0430\u0442\u044c\u0441\u044f \u0432 \u0443\u043f\u0440\u0430\u0436\u043d\u0435\u043d\u0438\u044f\u0445, \u0440\u0435\u0448\u0430\u044e\u0449\u0438\u0445 \u0448\u0430\u0433 \u0437\u0430 \u0448\u0430\u0433\u043e\u043c \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u044b\u0435 \u0444\u0443\u043d\u043a\u0446\u0438\u0438. \u0427\u0442\u043e \u0442\u0430\u043a\u043e\u0435 \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f? \u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u2014 \u044d\u0442\u043e \u0444\u0443\u043d\u043a\u0446\u0438\u044f, \u0443 \u043a\u043e\u0442\u043e\u0440\u043e\u0439 \u0432 \u0435\u0435 \u0433\u0440\u0430\u0444\u0438\u0447\u0435\u0441\u043a\u043e\u043c \u043f\u0440\u0435\u0434\u0441\u0442\u0430\u0432\u043b\u0435\u043d\u0438\u0438 \u043c\u043e\u0436\u043d\u043e \u043d\u0430\u0439\u0442\u0438 &hellip; \u0421\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u0438: \u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0438 \u0430\u0441\u0438\u043c\u043c\u0435\u0442\u0440\u0438\u0447\u043d\u0430\u044f \u0444\u0443\u043d\u043a\u0446\u0438\u044f \u0427\u0438\u0442\u0430\u0442\u044c \u0434\u0430\u043b\u0435\u0435 &raquo;\" \/>\n<meta property=\"og:url\" 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