{"id":368,"date":"2023-07-04T10:44:29","date_gmt":"2023-07-04T10:44:29","guid":{"rendered":"https:\/\/mathority.org\/ja\/%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%a8%e9%9d%9e%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%af%be%e7%a7%b0%e6%80%a7\/"},"modified":"2023-07-04T10:44:29","modified_gmt":"2023-07-04T10:44:29","slug":"%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%a8%e9%9d%9e%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%af%be%e7%a7%b0%e6%80%a7","status":"publish","type":"post","link":"https:\/\/mathority.org\/ja\/%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%a8%e9%9d%9e%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%af%be%e7%a7%b0%e6%80%a7\/","title":{"rendered":"\u95a2\u6570\u306e\u5bfe\u79f0\u6027: \u5bfe\u79f0\u95a2\u6570\u3068\u975e\u5bfe\u79f0\u95a2\u6570"},"content":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5bfe\u79f0\u95a2\u6570 (\u5076\u6570\u95a2\u6570\u3068\u5947\u6570\u95a2\u6570) \u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u8abf\u3079\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u3053\u308c\u3089\u306e\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u3001\u6700\u7d42\u7684\u306b\u306f\u3001\u5bfe\u79f0\u95a2\u6570\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-simetrica\"><\/span>\u5bfe\u79f0\u95a2\u6570\u3068\u306f\u4f55\u3067\u3059\u304b?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>\u5bfe\u79f0\u95a2\u6570\u3068\u306f\u3001\u30b0\u30e9\u30d5\u8868\u73fe\u306b\u5bfe\u79f0\u8ef8\u304c\u898b\u3089\u308c\u308b\u95a2\u6570\u3067\u3059\u3002<\/strong>\u5bfe\u79f0\u95a2\u6570\u306b\u306f\u3001Y \u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u306a\u5076\u6570\u95a2\u6570\u3068\u3001\u5ea7\u6a19\u306e\u539f\u70b9\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3042\u308b\u5947\u6570\u95a2\u6570\u306e 2 \u7a2e\u985e\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<p>\u5bfe\u79f0\u8ef8\u3068\u306f\u3001\u5bfe\u5411\u3059\u308b\u70b9\u304c\u4e92\u3044\u306b\u7b49\u8ddd\u96e2\u306b\u306a\u308b\u3088\u3046\u306b\u3001\u4f55\u304b\u3092 2 \u3064\u306e\u90e8\u5206\u306b\u5206\u5272\u3059\u308b\u60f3\u50cf\u4e0a\u306e\u7dda\u3067\u3042\u308b\u3053\u3068\u3092\u601d\u3044\u51fa\u3057\u3066\u304f\u3060\u3055\u3044\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funciones-pares\"><\/span>\u5076\u6570\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5076\u6570\u95a2\u6570<\/strong>\u306f\u3001y \u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u306a\u95a2\u6570\u3067\u3059\u3002\u3064\u307e\u308a\u3001Y \u8ef8\u306f\u95a2\u6570\u306e\u5bfe\u79f0\u8ef8\u3067\u3059\u3002 <\/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=\"\u5076\u6570\u5bfe\u79f0\u95a2\u6570\" class=\"wp-image-497\" width=\"406\" height=\"333\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u4e0a\u306b\u793a\u3057\u305f\u4e8c\u6b21\u95a2\u6570\u3067\u308f\u304b\u308b\u3088\u3046\u306b\u3001\u72ec\u7acb\u5909\u6570 (x) \u306e\u4efb\u610f\u306e\u5024\u306b\u5bfe\u3059\u308b\u5076\u6570\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\u306f\u3001\u53cd\u5bfe\u306e\u5024 (-x) \u306b\u5bfe\u3059\u308b\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\u3068\u7b49\u4fa1\u3067\u3059\u3002\u3064\u307e\u308a\u3001\u6570\u5b66\u7684\u306b\u306f\u3001\u6b21\u306e\u6761\u4ef6\u3092\u6e80\u305f\u3059\u95a2\u6570\u306f\u5076\u6570\u3067\u3059\u3002<\/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>\u5076\u6570\u95a2\u6570\u306f\u5bfe\u79f0\u95a2\u6570\u306e\u4e00\u7a2e\u3067\u3059\u3002\u5947\u6570\u95a2\u6570\u304c\u3069\u306e\u3088\u3046\u306a\u3082\u306e\u304b\u3092\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funciones-impares\"><\/span>\u5947\u6570\u95a2\u6570<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><strong>\u5947\u95a2\u6570<\/strong>\u306f\u3001\u5ea7\u6a19\u306e\u539f\u70b9\u3001\u3064\u307e\u308a\u70b9 (0,0) \u306b\u5bfe\u3057\u3066\u5bfe\u79f0\u306a\u95a2\u6570\u3067\u3059\u3002<\/p>\n<p>\u4ee5\u4e0b\u306b\u3001\u5947\u6570\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u793a\u3057\u307e\u3059\u3002 <\/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=\"\u5947\u5bfe\u79f0\u95a2\u6570\" class=\"wp-image-501\" width=\"337\" height=\"283\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p>\u95a2\u6570\u304c\u5ea7\u6a19\u539f\u70b9\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3042\u308b\u3068\u3044\u3046\u4e8b\u5b9f\u306f\u3001\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u3092\u6700\u521d\u306b OY \u8ef8\u3092\u901a\u3063\u3066\u6298\u308a\u3001\u6b21\u306b OX \u8ef8\u3092\u901a\u3063\u3066\u6298\u308a\u7573\u3080\u3068\u3001\u95a2\u6570\u306e\u30b0\u30e9\u30d5\u304c\u91cd\u306a\u308b\u3053\u3068\u3092\u610f\u5473\u3057\u307e\u3059\u3002<\/p>\n<p>\u4ee3\u6570\u7684\u306b\u306f\u3001\u95a2\u6570\u306e\u30a4\u30e1\u30fc\u30b8\u9593\u306b\u6b21\u306e\u95a2\u4fc2\u304c\u6e80\u305f\u3055\u308c\u308b\u5834\u5408\u3001\u305d\u306e\u95a2\u6570\u306f\u5947\u6570\u3067\u3059\u3002<\/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>\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u77e5\u308b\u3053\u3068\u306f\u3001\u30b0\u30e9\u30d5\u306e\u534a\u5206\u3060\u3051\u3092\u77e5\u3063\u3066\u3044\u308c\u3070\u4ed6\u306e\u90e8\u5206\u3092\u3059\u3050\u306b\u63cf\u304f\u3053\u3068\u304c\u3067\u304d\u308b\u305f\u3081\u3001\u305d\u308c\u3092\u8868\u73fe\u3059\u308b\u306e\u306b\u975e\u5e38\u306b\u5f79\u7acb\u3061\u307e\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-encontrar-la-simetria-de-una-funcion\"><\/span>\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u898b\u3064\u3051\u308b\u65b9\u6cd5<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u8abf\u3079\u308b\u306b\u306f\u3001\u6b21\u306e\u753b\u50cf\u3092\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/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> \u3001\u3064\u307e\u308a\u8a08\u7b97\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002<\/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>\u3057\u305f\u304c\u3063\u3066\u3001\u753b\u50cf\u306e\u7d50\u679c\u306b\u5fdc\u3058\u3066\u3001\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u306f\u6b21\u306e\u3088\u3046\u306b\u306a\u308a\u307e\u3059\u3002<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u6e80\u305f\u3055\u308c\u3066\u3044\u308c\u3070\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>\u3001\u95a2\u6570\u306f\u5076\u6570\u3067\u3042\u308b\u305f\u3081\u3001 <strong>Y \u8ef8\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3059\u3002<\/strong><\/li>\n<li style=\"margin-bottom:15px\"><span style=\"color:#101010;font-weight: normal;\">\u6e80\u305f\u3055\u308c\u3066\u3044\u308c\u3070\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>\u3001\u95a2\u6570\u306f\u5947\u6570\u3067\u3042\u308b\u305f\u3081<strong>\u3001\u5ea7\u6a19\u306e\u539f\u70b9\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3059\u3002<\/strong><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\u4e0a\u8a18\u306e\u6761\u4ef6\u304c\u3044\u305a\u308c\u3082\u6e80\u305f\u3055\u308c\u306a\u3044\u5834\u5408\u3001\u305d\u308c\u306f<strong>\u975e\u5bfe\u79f0\u95a2\u6570<\/strong>\u3067\u3059 (\u5bfe\u79f0\u8ef8\u304c\u3042\u308a\u307e\u305b\u3093)\u3002<\/span><\/li>\n<\/ol>\n<p>\u305f\u3068\u3048\u3070\u3001\u6b21\u306e 3 \u6b21\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u5206\u6790\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002<\/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>\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u8abf\u3079\u308b\u305f\u3081\u306b\u3001\u6b21\u306e\u3088\u3046\u306b\u8a08\u7b97\u3057\u307e\u3059\u3002<\/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>\u7d50\u679c\u306e\u4ee3\u6570\u5f0f\u306f\u3001\u5143\u306e\u95a2\u6570\u5f0f\u3068\u7b49\u4fa1\u3067\u3059\u304c\u3001\u7b26\u53f7\u304c\u5909\u66f4\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u3064\u307e\u308a\u3001\u6b21\u306e\u7b49\u5f0f\u304c\u6e80\u305f\u3055\u308c\u307e\u3059\u3002<\/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>\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u95a2\u6570\u306f\u5947\u6570\u3067\u3042\u308a\u3001\u5ea7\u6a19\u306e\u539f\u70b9 (0,0) \u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3059\u3002 <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-las-funciones-simetricas\"><\/span>\u5bfe\u79f0\u95a2\u6570\u306e\u6027\u8cea<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>\u5bfe\u79f0\u95a2\u6570\u306b\u306f\u6b21\u306e\u7279\u5fb4\u304c\u3042\u308a\u307e\u3059\u3002<\/p>\n<ul>\n<li> 2 \u3064\u306e\u5076\u6570\/\u5947\u6570\u95a2\u6570\u306e\u5408\u8a08\u306f\u3001\u5225\u306e\u5076\u6570\/\u5947\u6570\u95a2\u6570\u3068\u7b49\u3057\u304f\u306a\u308a\u307e\u3059\u3002<\/li>\n<li> 2 \u3064\u306e\u5076\u6570\u95a2\u6570\u307e\u305f\u306f 2 \u3064\u306e\u5947\u6570\u95a2\u6570\u306e\u7a4d\u306b\u3088\u308a\u3001\u5076\u6570\u95a2\u6570\u304c\u5f97\u3089\u308c\u307e\u3059\u3002<\/li>\n<li>\u5076\u6570\/\u5947\u6570\u95a2\u6570\u306e\u5c0e\u95a2\u6570\u306f\u5076\u6570\/\u5947\u6570\u95a2\u6570\u3067\u3059\u3002<\/li>\n<li> 2 \u3064\u306e\u5076\u6570\/\u5947\u6570\u95a2\u6570\u9593\u306e\u5408\u6210\u306f\u3001\u5076\u6570\/\u5947\u6570\u95a2\u6570\u3068\u540c\u7b49\u3067\u3059\u3002<\/li>\n<li>\u5076\u6570\u3068\u5947\u6570\u306e\u4e21\u65b9\u3067\u3042\u308b\u552f\u4e00\u306e\u95a2\u6570\u3001\u3064\u307e\u308a OY \u8ef8\u3068\u539f\u70b9\u306b\u95a2\u3057\u3066\u5bfe\u79f0\u306a\u95a2\u6570\u306f\u6b21\u306e\u95a2\u6570\u3067\u3059\u3002\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>\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u306e\u554f\u984c\u3092\u89e3\u6c7a\u3057\u307e\u3057\u305f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 1<\/h3>\n<p>\u6b21\u306e\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u6c42\u3081\u307e\u3059\u3002 <\/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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u6b21\u3092\u8a55\u4fa1\u3059\u308b\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/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\">\u8ca0\u306e\u6570\u5024\u3092\u7d2f\u4e57\u3059\u308b\u3068\u6b63\u306e\u6570\u5024\u304c\u5f97\u3089\u308c\u308b\u305f\u3081\u3001\u3053\u306e\u5834\u5408\u3001\u6b21\u306e\u65b9\u7a0b\u5f0f\u304c\u6210\u308a\u7acb\u3061\u307e\u3059\u3002<\/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\">\u3057\u305f\u304c\u3063\u3066\u3001\u95a2\u6570\u306f\u5076\u6570\u3067\u3042\u308a\u3001\u3057\u305f\u304c\u3063\u3066 y \u8ef8 (Y \u8ef8) \u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3059\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 2<\/h3>\n<p>\u6b21\u306e\u6709\u7406\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u8abf\u3079\u3066\u304f\u3060\u3055\u3044\u3002 <\/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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u5224\u65ad\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u3088\u3046\u306b\u3057\u307e\u3059\u3002 <\/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\">\u3053\u306e\u554f\u984c\u3067\u306f\u3001\u6b21\u306e\u753b\u50cf\u304c\u3042\u308b\u305f\u3081\u3001\u5bfe\u79f0\u6761\u4ef6\u306f\u6e80\u305f\u3055\u308c\u307e\u305b\u3093\u3002<\/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>\u306b\u7b49\u3057\u304f\u3042\u308a\u307e\u305b\u3093<\/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>\u3082\u3057\u306a\u3044<\/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\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u95a2\u6570\u306b\u306f\u5bfe\u79f0\u8ef8\u304c\u306a\u304f\u3001\u3080\u3057\u308d\u975e\u5bfe\u79f0\u95a2\u6570\u3068\u306a\u308a\u307e\u3059\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">\u6f14\u7fd2 3<\/h3>\n<p>\u6b21\u306e\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u8a08\u7b97\u3057\u307e\u3059\u3002 <\/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>\u89e3\u6c7a\u7b56\u3092\u53c2\u7167<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\">\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u5206\u6790\u3059\u308b\u306b\u306f\u3001\u6b21\u306e\u8a08\u7b97\u3092\u884c\u3046\u5fc5\u8981\u304c\u3042\u308a\u307e\u3059\u3002 <\/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\">\u3053\u306e\u5834\u5408\u3001\u7d50\u679c\u306e\u5f0f\u306f\u5143\u306e\u5f0f\u3068\u4f3c\u3066\u3044\u307e\u3059\u304c\u3001\u7b26\u53f7\u304c\u5909\u66f4\u3055\u308c\u3066\u3044\u308b\u305f\u3081\u3001\u6b21\u306e\u5f0f\u304c\u6e80\u305f\u3055\u308c\u307e\u3059\u3002<\/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\">\u3057\u305f\u304c\u3063\u3066\u3001\u3053\u306e\u95a2\u6570\u306f\u5947\u6570\u3067\u3042\u308a\u3001\u5ea7\u6a19\u306e\u539f\u70b9 (0,0) \u306b\u95a2\u3057\u3066\u5bfe\u79f0\u3067\u3059\u3002<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u3053\u306e\u8a18\u4e8b\u3067\u306f\u3001\u5bfe\u79f0\u95a2\u6570 (\u5076\u6570\u95a2\u6570\u3068\u5947\u6570\u95a2\u6570) \u3068\u306f\u4f55\u304b\u3001\u304a\u3088\u3073\u95a2\u6570\u306e\u5bfe\u79f0\u6027\u3092\u8abf\u3079\u308b\u65b9\u6cd5\u306b\u3064\u3044\u3066\u8aac\u660e\u3057\u307e\u3059\u3002\u307e\u305f\u3001\u3053\u308c\u3089\u306e\u30bf\u30a4\u30d7\u306e\u95a2\u6570\u306e\u30d7\u30ed\u30d1\u30c6\u30a3\u3092\u78ba\u8a8d\u3059\u308b\u3053\u3068\u3082\u3067\u304d\u3001\u6700\u7d42\u7684\u306b\u306f\u3001\u5bfe\u79f0\u95a2\u6570\u3092\u6bb5\u968e\u7684\u306b\u89e3\u6c7a\u3059\u308b\u6f14\u7fd2\u3092\u884c\u3046\u3053\u3068 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/ja\/%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%a8%e9%9d%9e%e5%af%be%e7%a7%b0%e9%96%a2%e6%95%b0%e3%81%ae%e5%af%be%e7%a7%b0%e6%80%a7\/\"> <span class=\"screen-reader-text\">\u95a2\u6570\u306e\u5bfe\u79f0\u6027: \u5bfe\u79f0\u95a2\u6570\u3068\u975e\u5bfe\u79f0\u95a2\u6570<\/span> \u3082\u3063\u3068\u8aad\u3080 &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-368","post","type-post","status-publish","format-standard","hentry","category-17"],"yoast_head":"<!-- This site is optimized 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