{"id":60843,"date":"2022-11-15T11:13:00","date_gmt":"2022-11-15T14:13:00","guid":{"rendered":"https:\/\/militares.estrategia.com\/portal\/?p=60843"},"modified":"2024-09-30T10:42:28","modified_gmt":"2024-09-30T13:42:28","slug":"o-que-e-funcao-afim","status":"publish","type":"post","link":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/","title":{"rendered":"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?"},"content":{"rendered":"\n<p>Est\u00e1 estudando para os seletivos das For\u00e7as Armadas? Confira os resumos que o Estrat\u00e9gia militares preparou para voc\u00ea sobre os assuntos cobrados nas avalia\u00e7\u00f5es! A fun\u00e7\u00e3o \u00e9 <strong>uma<\/strong><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/relacao-binaria\/\" target=\"_blank\" ><strong> rela\u00e7\u00e3o bin\u00e1ria<\/strong><\/a><strong>, com algumas restri\u00e7\u00f5es. <\/strong>Existem v\u00e1rios<a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao\/\" target=\"_blank\" > tipos de fun\u00e7\u00f5es<\/a> e uma das mais conhecidas \u00e9 a Fun\u00e7\u00e3o Afim. Neste post, entenda como ela funciona!<\/p>\n\n\n<div id=\"new-form\">\n\t<form id=\"forms_layout\">\n\t<input type=\"hidden\" id=\"chave_de\" name=\"chave_de\" value=\"01_EMIL_LEADS_TOTAIS\" \/>\n\t\t<input type=\"hidden\" id=\"mid\" name=\"mid\" value=\"515009017\" \/>\n\t\t<input type=\"hidden\" id=\"Objetivo\" name=\"Objetivo\" value=\"Militares\" \/>\n\t\t<input type=\"hidden\" id=\"Estado_de_Origem_do_IP\" name=\"Estado_de_Origem_do_IP\"  value=\"\" \/>\n\t\t<input type=\"hidden\" id=\"Cidade_de_Origem_do_IP\" name=\"Cidade_de_Origem_do_IP\" value=\"\" \/>\n\t\t<input type=\"hidden\" id=\"Modo_de_entrada\" name=\"Modo_de_entrada\" value=\"Portal\" \/>\n\t\t<input type=\"hidden\" id=\"Pagina_Origem\" name=\"Pagina_Origem\" value=\"\" \/>\n\n\t\t<div class=\"texto\">\n\t\t\t<h3 class=\"news\">Inscreva-se em nossa newsletter!<\/h3>\n\t\t\t<p>Receba not\u00edcias sobre os mais importantes concursos para as For\u00e7as Armadas brasileiras e informa\u00e7\u00f5es sobre o mundo militar!<\/p>\n\t\t<\/div>\n\t\t<div class=\"campos\">\n\t\t\t<div class=\"first_name labels\">\n\t\t\t\t<input type=\"text\" class=\"input_labels\" id=\"first_name\" name=\"Nome_Completo\" placeholder=\"Nome\" required \/>\n\t\t\t<\/div>\n\t\t\t<div class=\"email labels\">\n\t\t\t\t<input type=\"email\" class=\"input_labels\" id=\"email\" name=\"Email\" placeholder=\"E-mail\" required \/>\n\t\t\t<\/div>\n\t\t\t<button type=\"submit\" class=\"button_layout\">\n\t\t\t\t<div id=\"lblBotao\">Inscreva-se<\/div>\n\t\t\t\t<span id=\"divSpiner\" class=\"loader\" role=\"status\" style=\"display: none;\"><\/span>\t\n\t\t\t<\/button>\n\t\t<\/div><!-- \/campos -->\n\t\t\n\t\t<label class=\"container_checkbox\">Voc\u00ea concorda com a nossa\n\t\t\t<a class=\"politics_privacy_ahref\" target=\"_blank\" href=\"https:\/\/gratis.estrategiaconcursos.com.br\/politica-de-privacidade\/\">Pol\u00edtica de Privacidade<\/a> e aceita receber informa\u00e7\u00f5es adicionais do Estrat\u00e9gia Educacional.\n\t\t\t<input id=\"checkbox_layout\" type=\"checkbox\" checked=\"checked\" required \/>\n\t\t\t<span class=\"checkbox\"><\/span>\n\t\t<\/label>\n\t\t<div id=\"msg\"><\/div>\n\t\t<div id=\"error\" class=\"error\">\n\t\t<\/div>\n\t<\/form>\n<\/div><!-- \/new-form -->\n\n\n\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_79_2 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado\t<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#O-que-e-Funcao-Afim\" >O que \u00e9 Fun\u00e7\u00e3o Afim?&nbsp;<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#Coeficientes-da-Funcao-Afim\" >Coeficientes da Fun\u00e7\u00e3o Afim<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#Como-montar-o-grafico-da-Funcao-Afim\" >Como montar o gr\u00e1fico da Fun\u00e7\u00e3o Afim?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#Veja-tambem\" >Veja tamb\u00e9m:<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-funcao-afim-nbsp\"><span class=\"ez-toc-section\" id=\"O-que-e-Funcao-Afim\"><\/span>O que \u00e9 Fun\u00e7\u00e3o Afim?&nbsp;<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>A Fun\u00e7\u00e3o Afim \u00e9 uma fun\u00e7\u00e3o de 1<sup>o<\/sup> grau, cuja defini\u00e7\u00e3o \u00e9 dada por:\u00a0<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/5PbqRa6ue1D2JUo5dfGr9zSCS119QKdHLNfpqoYMUy9oN5C2jwlKhHScaGBR7uxxcUTNMIhQgGfGWW-5TlIpbP39rpTVLIVVppYJ9Ebq8JEoZIZTcAJBEZvwawCCbzuw058-BYXyHjo5clzNXH1hQDEJBPLq7qBNB0srIF0pcTVd6Ha01VC1n6Wd2c1sVA\" alt=\"\" style=\"width:268px;height:30px\"\/><\/figure><\/div>\n\n\n<p>Dependendo dos valores de \ud835\udc4e, \ud835\udc4f da defini\u00e7\u00e3o acima, podemos ter casos espec\u00edficos de fun\u00e7\u00e3o. <strong>Com exce\u00e7\u00e3o da fun\u00e7\u00e3o constante, todas as demais s\u00e3o consideradas fun\u00e7\u00f5es de 1<\/strong><strong><sup>o<\/sup><\/strong><strong> grau,<\/strong> j\u00e1 que dependem da vari\u00e1vel <strong><em>x<\/em><\/strong><strong>. <\/strong>Vamos entender cada uma delas.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-funcao-constante-nbsp\">Fun\u00e7\u00e3o Constante&nbsp;<\/h3>\n\n\n\n<p>Uma fun\u00e7\u00e3o \ud835\udc53 de \u211d em \u211d \u00e9 chamada de constante quando cada elemento \ud835\udc65 \u2208 \u211d corresponde a um mesmo elemento \ud835\udc50 \u2208 \u211d. A defini\u00e7\u00e3o pode ser escrita da seguinte forma:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/BAP-gXMAV3gEAOuuL8JqWDnjMQ1BSxM9-VnFcUwQLyv1Mytf5uR_he9iOGoxlZVmJWM2VXwelLtoI4P1NQQGNeML7aihjtDVmi8sycErRBtsJ3c-EECJbhKpyCEfwY0FV5BtYI67wDnhWTYtbLAvla8vosSOaFxWM5YiA1KfxPHSMRawB_EWj3ovhsxxUQ\" alt=\"\" style=\"width:243px;height:35px\"\/><\/figure><\/div>\n\n\n<p><strong>Esta fun\u00e7\u00e3o \u00e9 um caso espec\u00edfico, onde \ud835\udc4e = 0 e \ud835\udc4f \u2208 \u211d<\/strong>. A transforma\u00e7\u00e3o \ud835\udc53 de \u211d em \u211d associa para cada \ud835\udc65 \u2208 \u211d um mesmo valor \ud835\udc4f \u2208 \u211d. Graficamente, ela ser\u00e1 uma reta horizontal ao eixo \ud835\udc65:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/x_sMCwBx5yvpvlmXEzGJUY60Gsh-PqS3CndGHoSV6Nepr-QjvfVwzaBIX8KRZGGzQ7pqn44anxG_aJm72jQBiYAeVz_QS8UezR7jZ6paxL-_qVf58pPuaIv-B8yScjNpWzfP0uNT1MAnF-TNM1FrzmolgxTwbhBs-7-MzZH2RiErDXUNi2DswJG2pykXzw\" alt=\"\"\/><\/figure><\/div>\n\n\n<p>Nesse caso, a imagem de \ud835\udc53 \u00e9 \ud835\udc3c\ud835\udc5a<sub>\ud835\udc53<\/sub> = {\ud835\udc4f}.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-funcao-identidade\">Fun\u00e7\u00e3o Identidade<\/h3>\n\n\n\n<p><strong>A Fun\u00e7\u00e3o Identidade, por sua vez, \u00e9 uma rela\u00e7\u00e3o \ud835\udc53: \u211d \u2192 \u211d que associa \ud835\udc65 ao pr\u00f3prio \ud835\udc65.<\/strong> Sua defini\u00e7\u00e3o \u00e9 dada por:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/o_FF5BOkqqZtkcKckzkTdveEB2imc1sXnRgip3lGCYVW1JNvbThlPdh_WDEsgkltPnmSy__oYa71RGa6ou19KodrD6sM6fczNTQJf5G8LK06dixFPQLy-jge9CBd1BZBdA0XUhPtJB9to2POTvWI5tjeEIQ18uG-4ypfk58wCynSZoUJoVM3NXU8N7CysA\" alt=\"\" style=\"width:169px;height:32px\"\/><\/figure><\/div>\n\n\n<p>Nesse caso, a imagem de \ud835\udc87 \u00e9 \ud835\udc70\ud835\udc8e\ud835\udc87 = \u211d. O gr\u00e1fico da fun\u00e7\u00e3o \u00e9 representado da seguinte forma:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/My1lBZ5Mq9sBBs-s7xrxB5qeHIzvQuMgOF2QxvbwqwTfl_jzYT-iGt1VxO7E5pCVICWjRntTVbyAuvgu5Q5gjV9k_Uah6ujfQEj-8kndBkVkb2vzVM5y1djZ0E9lRXYsleOI0zcsNKNMhuCQR1UtuL8W_5JQaAQnONcHHQeII4dCKpRkLBAvUbcIBR5s1g\" alt=\"\"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\" id=\"h-funcao-linear-nbsp\">Fun\u00e7\u00e3o Linear&nbsp;<\/h3>\n\n\n\n<p>Por fim, a fun\u00e7\u00e3o linear tem o coeficiente \ud835\udc83 = \ud835\udfce. Ela \u00e9 definida por:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/_vklIrDlBMPzbKIwmqlbeGSkOkx0QIQnjmSyh0Sqkcrl-VfpB2puOHcCEX1yJ-O9_vNY52SqSju5BbVQWri6U5yIJtvI_l0MljM4KErKeZk_YOvLv0_zsEh9x7rFKkDVe3MSVumFC9VNSAkbSPG1R6ZTYJTqtcsNmJgqQh9HkChlmXyD_mK5wkycUUu0bA\" alt=\"\" style=\"width:-22px;height:-3px\"\/><\/figure><\/div>\n\n\n<p>A representa\u00e7\u00e3o gr\u00e1fica \u00e9:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/NIPA-chWIXq7XFhfHdvPX8xBVSvtPuhagRBCZMNedma1GhCwHi1cq5bLVqRDPf2__sXkHT64XWrX1gzC2l-8o2-1Kcn8k-bXW47s77gBnuvG8gQM5QpcVi5IEImzfJTZGyRvBLcvwu5Ur7E3Tb_VKl-fO5snzR5YY0Xo_8SP3fU3BywV-BaVf9hJIoX1Bg\" alt=\"\"\/><\/figure><\/div>\n\n\n<p>A reta passa pela origem do sistema e possui imagem \ud835\udc70\ud835\udc8e<sub>\ud835\udc87<\/sub> = \u211d.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-coeficientes-da-funcao-afim\"><span class=\"ez-toc-section\" id=\"Coeficientes-da-Funcao-Afim\"><\/span>Coeficientes da Fun\u00e7\u00e3o Afim<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>Considere uma fun\u00e7\u00e3o afim:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc53: \u211d \u2192 \u211d, \ud835\udc53(\ud835\udc65) = \ud835\udc4e\ud835\udc65 + \ud835\udc4f, \ud835\udc4e, \ud835\udc4f \u2208 \u211d<\/p>\n\n\n\n<p>Nela, o <em>x<\/em> \u00e9 a sua vari\u00e1vel, por\u00e9m <em>a<\/em> e <em>b<\/em> tamb\u00e9m recebem um nome. Eles s\u00e3o os <em>coeficientes da fun\u00e7\u00e3o<\/em>. A letra<strong> <\/strong><strong><em>a<\/em><\/strong><strong> acompanha a vari\u00e1vel <\/strong><strong><em>x<\/em><\/strong><strong> e \u00e9 chamada de coeficiente angular. J\u00e1 o <\/strong><strong><em>b<\/em><\/strong><strong> \u00e9 chamado de coeficiente linear<\/strong>.&nbsp;<\/p>\n\n\n\n<p>Veja o exemplo:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc531: \u211d \u2192 \u211d, \ud835\udc531(\ud835\udc65) = 2\ud835\udc65 + 1<\/p>\n\n\n\n<p>O coeficiente angular de \ud835\udc53<sub>1<\/sub> \u00e9 2 e seu coeficiente linear \u00e9 1. Agora, observe a fun\u00e7\u00e3o \ud835\udc53<sub>2<\/sub> a seguir:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc53<sub>2<\/sub>: \u211d \u2192 \u211d, \ud835\udc53<sub>2<\/sub>(\ud835\udc65) = \u2212\ud835\udc65 \u2212 10<\/p>\n\n\n\n<p>O coeficiente angular de \ud835\udc53<sub>2<\/sub> \u00e9 \u22121 e seu coeficiente linear \u00e9 \u221210.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"h-como-montar-o-grafico-da-funcao-afim\"><span class=\"ez-toc-section\" id=\"Como-montar-o-grafico-da-Funcao-Afim\"><\/span>Como montar o gr\u00e1fico da Fun\u00e7\u00e3o Afim?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>A representa\u00e7\u00e3o gr\u00e1fica da Fun\u00e7\u00e3o Afim nos permite <strong>extrair informa\u00e7\u00f5es importantes, como o sinal da fun\u00e7\u00e3o e a resolu\u00e7\u00e3o de inequa\u00e7\u00f5es.<\/strong> Para montar o gr\u00e1fico da fun\u00e7\u00e3o, no entanto, primeiro precisamos encontrar sua imagem e sua raiz.&nbsp;<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-imagem-da-funcao-afim\">Imagem da Fun\u00e7\u00e3o Afim<\/h3>\n\n\n\n<p>Para encontrar o conjunto imagem de uma fun\u00e7\u00e3o <em>f<\/em>, \u00e9 preciso <strong>analisar o seu dom\u00ednio e ver o que acontece com sua vari\u00e1vel.<\/strong> Considere, por exemplo, a seguinte fun\u00e7\u00e3o:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc53: [0, 10] \u2192 \u211d, \ud835\udc53(\ud835\udc65) = 3\ud835\udc65 + 2<\/p>\n\n\n\n<p>Substituindo \ud835\udc53(\ud835\udc65) = \ud835\udc66 e isolando \ud835\udc65:<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/vAQFkY8QWXK9LDmiVPfMYyL46xNCZfC1-fkdFIu-kLZ3rc-HD_a-RM0ynGDv7y9jaAdayPsD_vWb5-xTx6w20jjKReIoNFnRsRyWO9MX0jsDLwKyGWY1f_h2YoW-fw9anmCNBHakJoPjvIzvQJBxPc3-v5LFNu6d3mJ28xjmWLpx0aIoHNDngChwXaA0fA\" alt=\"\" style=\"width:-40px;height:-9px\"\/><\/figure><\/div>\n\n\n<p>Como o \ud835\udc37<sub>\ud835\udc53<\/sub> = [0,10], sabemos que o <em>x<\/em> s\u00f3 pode ser maior ou igual a zero ou menor ou igual a 10. Assim:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/WbmIL0BVPfgYojUi9PirW8i6ZBpxLeskW_asnnn-Pb4dCjjt_AHHPzhHUatGmfoLqcVD-v_7zdgAU_w9Lak47-3vc4xL7sxDCQvI5459uRhJibFlbg2oAbY7-Ql4Kkto9ejjIv9jWNf6vu_CwsYy4V1Vct0i0U2PbpaeHyox5c1iOju3-ydgiT0Pz-x6Kw\" alt=\"\" style=\"width:128px;height:86px\"\/><\/figure><\/div>\n\n\n<p>Multiplicando as desigualdades acima por 3:<\/p>\n\n\n\n<p class=\"has-text-align-center\">0 \u2264 \ud835\udc66 \u2212 2 \u2264 30<\/p>\n\n\n\n<p>Em seguida, somamos 2 \u00e0s desigualdades:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">0 + 2 \u2264 \ud835\udc66 \u2212 2 + 2 \u2264 30 + 2<br>2 \u2264 \ud835\udc66 \u2264 32<\/p>\n\n\n\n<p>Dessa forma, conclu\u00edmos:<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc37<sub>\ud835\udc53<\/sub> = [0, 10] \u21d2 \ud835\udc3c\ud835\udc5a<sub>\ud835\udc53<\/sub> = [2, 32]\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-raiz-da-funcao-afim\">Raiz da Fun\u00e7\u00e3o Afim<\/h3>\n\n\n\n<p>A raiz tamb\u00e9m \u00e9 <strong>conhecida como o zero de uma fun\u00e7\u00e3o, j\u00e1 que \u00e9 todo <\/strong><strong><em>x<\/em><\/strong><strong> que resulta \ud835\udc53(\ud835\udc65) = 0. <\/strong>Para determinarmos a raiz da Fun\u00e7\u00e3o Afim, devemos substituir \ud835\udc53(\ud835\udc65) = 0 e resolver a equa\u00e7\u00e3o resultante. Veja a seguir:<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc53(\ud835\udc65) = \ud835\udc4e\ud835\udc65 + \ud835\udc4f<\/p>\n\n\n\n<p>Substituindo \ud835\udc53(\ud835\udc65) = 0, encontramos a seguinte equa\u00e7\u00e3o:<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc4e\ud835\udc65 + \ud835\udc4f = 0<\/p>\n\n\n\n<p>A resolu\u00e7\u00e3o se apresenta da seguinte forma:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh4.googleusercontent.com\/0F6Dlq78_8pADmrk5FNQCCr67IELXPnDWV00zoPxk-w_h7xk6CJ5GO-WvDn4BQsxZ06skOsPzt9tvnTZwPPYxv9d0h8J3YB4B2LIzQAhuG-gEzGVHK_i0bJeiqug_dwm_7DH_uE7owycjLxOdnLvQMsSmURLOln3KEiXv4b7jSl4WvV8KbueMIl5YVIjSw\" alt=\"\" style=\"width:-30px;height:-5px\"\/><\/figure><\/div>\n\n\n<p>A \u00fanica solu\u00e7\u00e3o da equa\u00e7\u00e3o \u00e9 dada por \ud835\udc65 = \u2212\ud835\udc4f\/\ud835\udc4e. Quer ver como funciona na pr\u00e1tica? Ent\u00e3o, vamos encontrar a raiz de \ud835\udc53(\ud835\udc65) = 3\ud835\udc65 + 6. Se substituirmos \ud835\udc53(\ud835\udc65) = 0, obtemos a equa\u00e7\u00e3o:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">3\ud835\udc65 + 6 = 0<br>3\ud835\udc65 + 6 = 0 \u21d2 \ud835\udc65 = \u22122&nbsp;<\/p>\n\n\n\n<p>Ent\u00e3o, para x = \u22122, temos \ud835\udc53(\u22122) = 0.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\" id=\"h-construindo-o-grafico-da-funcao\">Construindo o gr\u00e1fico da fun\u00e7\u00e3o<\/h3>\n\n\n\n<p>Agora que voc\u00ea conhece como calcular a imagem e a raiz, \u00e9 a hora de aprender a construir o gr\u00e1fico da Fun\u00e7\u00e3o Afim. <strong>Uma fun\u00e7\u00e3o \ud835\udc53 de \u211d em \u211d retorna os <\/strong><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/par-ordenado-e-produto-cartesiano\/\" target=\"_blank\" ><strong>pares ordenados<\/strong><\/a><strong> da forma (\ud835\udc65, \ud835\udc66), onde \ud835\udc65 pertence ao dom\u00ednio de \ud835\udc53 e \ud835\udc66 pertence \u00e0 imagem de \ud835\udc53<\/strong>.&nbsp;<\/p>\n\n\n\n<p>Para representar uma fun\u00e7\u00e3o no plano cartesiano, devemos verificar a forma dela e encontrar alguns pares ordenados. Veja o gr\u00e1fico que podemos construir com a seguinte fun\u00e7\u00e3o:&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc53: \u211d \u2192 \u211d, \ud835\udc53(\ud835\udc65) = 2\ud835\udc65 + 1<\/p>\n\n\n\n<p>Primeiro,<strong> devemos encontrar os principais pares ordenados. Para o caso da fun\u00e7\u00e3o afim, podemos encontrar os pontos onde \ud835\udc53(\ud835\udc65) = 0 e \ud835\udc65 = 0.<\/strong> Lembrando que \ud835\udc53(\ud835\udc65) = 0 \u00e9 o que chamamos de raiz da fun\u00e7\u00e3o.&nbsp;<\/p>\n\n\n\n<p class=\"has-text-align-center\">\ud835\udc53(\ud835\udc65) = 0 \u21d2 2\ud835\udc65 + 1 = 0 \u21d2 \ud835\udc65 = \u22121\/2<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/n2L8mdfmW0bUiQoIjEuXJzEDP2AXTQlx2x9A_FU7KXIrAL1zL1QhhtNVTG8j7mljlXd2eQATbm4dM6BHw9DCzzxnNJe9iFgCieA4_3sVcFBUAL7s89ikAL49AXlQJTX0nO0U3aq-po_4Vh8xeMTvGlsVWvXuhQK6_fP-2sUHEAoyKq7I_jVimPDX-8erPw\" alt=\"\" style=\"width:76px;height:50px\"\/><\/figure><\/div>\n\n\n<p class=\"has-text-align-center\">\ud835\udc65 = 0 \u21d2 \ud835\udc53(0) = 2 \u2219 0 + 1 = 1<br>\u21d2 (0,1)<\/p>\n\n\n\n<p>Para esbo\u00e7ar o gr\u00e1fico, <strong>devemos representar os dois pontos no plano cartesiano e tra\u00e7ar uma reta que passa por eles.<\/strong> Observe os dois pontos no plano cartesiano abaixo:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/N-G_4BNSkhonz3DE7Bd0tjiPnd0fYJz6XL0h33tPVISfg5DsbquWYlrbbvOL8a49vy-8RW6HaL9toD9lTg0IPO0pdBZXvK5x8QhTJC1ePfhUM-py63DKT-UOixOFEAFHsffT5qTSAU8FE5OMaZ3xKtmnPt5siEw8qhS2EsP7VyRZSI4SOhw7TqgjZ_A48g\" alt=\"\"\/><\/figure><\/div>\n\n\n<p>Ao tra\u00e7ar a reta entre eles, obtemos:&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter is-resized\"><img decoding=\"async\" src=\"https:\/\/lh6.googleusercontent.com\/Vmo5TOeBnd7FLKg7JeMsNov8RPAR8XgOe4b932IGZcV0RZjLMfbVanOUBJvqTVqyFNOHugkPTA_BNl08VjrX3kHWBvIXueZHalQh-ieSLSVT98PrcPEdaUtib1yv8zzVvfReXd1q0t8bchxhU8BYfTH3yVidCnhaiwdQuqzptg69RKQxQNbLQUhgp0GAxg\" alt=\"\" style=\"width:-42px;height:-33px\"\/><\/figure><\/div>\n\n\n<p><strong>Uma das caracter\u00edsticas da Fun\u00e7\u00e3o Afim \u00e9 que seu gr\u00e1fico sempre ser\u00e1 uma reta.<\/strong> Portanto, fique atento para ver se sua representa\u00e7\u00e3o no plano cartesiano respeita essa regra.&nbsp;<\/p>\n\n\n\n<p>E a\u00ed, curtiu o conte\u00fado de Fun\u00e7\u00e3o Afim? Acompanhe o Portal Estrat\u00e9gia Militares para mais resumos das mat\u00e9rias cobradas nos seletivos das For\u00e7as Armadas! Al\u00e9m disso, tamb\u00e9m conhe\u00e7a nossos cursos on-line preparat\u00f3rios em nossa plataforma. Clique no banner e saiba mais!<\/p>\n\n\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Veja-tambem\"><\/span>Veja tamb\u00e9m:<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-pa\/\">Progress\u00e3o Aritm\u00e9tica (PA): o que \u00e9, tipos e propriedades<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/progressao-geometrica\/\">Progress\u00e3o Geom\u00e9trica (PG): o que \u00e9, propriedades e mais<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/par-ordenado-e-produto-cartesiano\/\">Par ordenado e produto cartesiano: o que s\u00e3o e suas propriedades<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/relacao-binaria\/\">O que \u00e9 uma Rela\u00e7\u00e3o Bin\u00e1ria na Matem\u00e1tica<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/entenda-a-equacao-geral-da-reta-na-geometria-analitica\/\">Entenda a equa\u00e7\u00e3o geral da reta na Geometria Anal\u00edtica<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/estatistica-descritiva-conheca-tecnicas-e-aplicacoes\/\">Estat\u00edstica descritiva: conhe\u00e7a t\u00e9cnicas e aplica\u00e7\u00f5es<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/polinomios-definicoes-operacoes-fatoracao-e-mais\/\">Polin\u00f4mios: defini\u00e7\u00f5es, opera\u00e7\u00f5es, fatora\u00e7\u00e3o e mais!<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/conheca-os-poligonos-regulares-e-suas-propriedades\/\">Conhe\u00e7a os pol\u00edgonos regulares e suas propriedades!<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/matriz-entenda-os-conceitos-basicos\/\">Matriz: entenda os conceitos b\u00e1sicos!<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/regra-de-tres-domine-facilmente-essa-ferramenta\/\">Regra de tr\u00eas: domine facilmente essa ferramenta!<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/entendendo-os-numeros-primos-e-sua-importancia-na-matematica\/\">Entendendo os n\u00fameros primos e sua import\u00e2ncia na matem\u00e1tica<\/a><\/li>\n\n\n\n<li><a href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/inequacao-e-funcao-de-1o-grau-como-resolver\/\">Inequa\u00e7\u00e3o e Fun\u00e7\u00e3o de 1\u00ba grau: como resolver?<\/a><\/li>\n<\/ul>\n\n\n\n<p><em>Texto escrito a partir do conte\u00fado elaborado pelo Prof. Victor So<\/em>.<\/p>\n\n\n","protected":false},"excerpt":{"rendered":"Est\u00e1 estudando para os seletivos das For\u00e7as Armadas? Confira os resumos que o Estrat\u00e9gia militares preparou para voc\u00ea&hellip;\n","protected":false},"author":9,"featured_media":60844,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"wl_entities_gutenberg":"","footnotes":""},"categories":[307],"tags":[],"wl_entity_type":[187],"class_list":{"0":"post-60843","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-matematica","8":"wl_entity_type-article"},"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v26.6 (Yoast SEO v26.6) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?<\/title>\n<meta name=\"description\" content=\"Voc\u00ea sabe o que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades? Confira a explica\u00e7\u00e3o no resumo de Matem\u00e1tica do Portal Estrat\u00e9gia Militares!\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?\" \/>\n<meta property=\"og:description\" content=\"Voc\u00ea sabe o que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades? Confira a explica\u00e7\u00e3o no resumo de Matem\u00e1tica do Portal Estrat\u00e9gia Militares!\" \/>\n<meta property=\"og:url\" content=\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/\" \/>\n<meta property=\"og:site_name\" content=\"Estrat\u00e9gia Militares\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/EstrategiaMilitares\" \/>\n<meta property=\"article:published_time\" content=\"2022-11-15T14:13:00+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-09-30T13:42:28+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1290\" \/>\n\t<meta property=\"og:image:height\" content=\"726\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Raquel Oshio\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:creator\" content=\"@estrategiamilit\" \/>\n<meta name=\"twitter:site\" content=\"@estrategiamilit\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Raquel Oshio\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. tempo de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/\"},\"author\":{\"name\":\"Raquel Oshio\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#\/schema\/person\/46e1f54d690b6a851270112cd62d2f37\"},\"headline\":\"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?\",\"datePublished\":\"2022-11-15T14:13:00+00:00\",\"dateModified\":\"2024-09-30T13:42:28+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/\"},\"wordCount\":956,\"publisher\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#organization\"},\"image\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg\",\"articleSection\":[\"Matem\u00e1tica\"],\"inLanguage\":\"pt-BR\"},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/\",\"url\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/\",\"name\":\"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?\",\"isPartOf\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage\"},\"image\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage\"},\"thumbnailUrl\":\"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg\",\"datePublished\":\"2022-11-15T14:13:00+00:00\",\"dateModified\":\"2024-09-30T13:42:28+00:00\",\"description\":\"Voc\u00ea sabe o que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades? Confira a explica\u00e7\u00e3o no resumo de Matem\u00e1tica do Portal Estrat\u00e9gia Militares!\",\"breadcrumb\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#breadcrumb\"},\"inLanguage\":\"pt-BR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage\",\"url\":\"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg\",\"contentUrl\":\"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg\",\"width\":1290,\"height\":726},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/militares.estrategia.com\/portal\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Mat\u00e9rias e Dicas\",\"item\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Matem\u00e1tica\",\"item\":\"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/\"},{\"@type\":\"ListItem\",\"position\":4,\"name\":\"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#website\",\"url\":\"https:\/\/militares.estrategia.com\/portal\/\",\"name\":\"Estrat\u00e9gia Militares\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/militares.estrategia.com\/portal\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"pt-BR\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#organization\",\"name\":\"Estrat\u00e9gia Militares\",\"url\":\"https:\/\/militares.estrategia.com\/portal\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#\/schema\/logo\/image\/\",\"url\":\"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2021\/10\/logo-militares.webp\",\"contentUrl\":\"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2021\/10\/logo-militares.webp\",\"width\":346,\"height\":90,\"caption\":\"Estrat\u00e9gia Militares\"},\"image\":{\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/EstrategiaMilitares\",\"https:\/\/x.com\/estrategiamilit\",\"https:\/\/www.instagram.com\/estrategiamilitares\/\",\"https:\/\/www.youtube.com\/channel\/UCRG_9hakCqXxnj_8TqCdgTA\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#\/schema\/person\/46e1f54d690b6a851270112cd62d2f37\",\"name\":\"Raquel Oshio\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-BR\",\"@id\":\"https:\/\/militares.estrategia.com\/portal\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/fa4e62d5e59d9cf9995ea9c715a78807?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/fa4e62d5e59d9cf9995ea9c715a78807?s=96&d=mm&r=g\",\"caption\":\"Raquel Oshio\"},\"description\":\"Raquel Kie \u00e9 amante de hist\u00f3rias e ca\u00e7adora de belezas escondidas. Jornalista de profiss\u00e3o e cora\u00e7\u00e3o. Desenhista e escritora de fic\u00e7\u00e3o nas horas vagas. Acredito no potencial transformador de todo trabalho feito com dedica\u00e7\u00e3o.\",\"url\":\"https:\/\/militares.estrategia.com\/portal\/author\/raqueloshio\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?","description":"Voc\u00ea sabe o que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades? Confira a explica\u00e7\u00e3o no resumo de Matem\u00e1tica do Portal Estrat\u00e9gia Militares!","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/","og_locale":"pt_BR","og_type":"article","og_title":"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?","og_description":"Voc\u00ea sabe o que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades? Confira a explica\u00e7\u00e3o no resumo de Matem\u00e1tica do Portal Estrat\u00e9gia Militares!","og_url":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/","og_site_name":"Estrat\u00e9gia Militares","article_publisher":"https:\/\/www.facebook.com\/EstrategiaMilitares","article_published_time":"2022-11-15T14:13:00+00:00","article_modified_time":"2024-09-30T13:42:28+00:00","og_image":[{"width":1290,"height":726,"url":"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg","type":"image\/jpeg"}],"author":"Raquel Oshio","twitter_card":"summary_large_image","twitter_creator":"@estrategiamilit","twitter_site":"@estrategiamilit","twitter_misc":{"Escrito por":"Raquel Oshio","Est. tempo de leitura":"5 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#article","isPartOf":{"@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/"},"author":{"name":"Raquel Oshio","@id":"https:\/\/militares.estrategia.com\/portal\/#\/schema\/person\/46e1f54d690b6a851270112cd62d2f37"},"headline":"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?","datePublished":"2022-11-15T14:13:00+00:00","dateModified":"2024-09-30T13:42:28+00:00","mainEntityOfPage":{"@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/"},"wordCount":956,"publisher":{"@id":"https:\/\/militares.estrategia.com\/portal\/#organization"},"image":{"@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage"},"thumbnailUrl":"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg","articleSection":["Matem\u00e1tica"],"inLanguage":"pt-BR"},{"@type":"WebPage","@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/","url":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/","name":"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?","isPartOf":{"@id":"https:\/\/militares.estrategia.com\/portal\/#website"},"primaryImageOfPage":{"@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage"},"image":{"@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage"},"thumbnailUrl":"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg","datePublished":"2022-11-15T14:13:00+00:00","dateModified":"2024-09-30T13:42:28+00:00","description":"Voc\u00ea sabe o que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades? Confira a explica\u00e7\u00e3o no resumo de Matem\u00e1tica do Portal Estrat\u00e9gia Militares!","breadcrumb":{"@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#breadcrumb"},"inLanguage":"pt-BR","potentialAction":[{"@type":"ReadAction","target":["https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/"]}]},{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#primaryimage","url":"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg","contentUrl":"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2022\/11\/funcao-afim.jpg","width":1290,"height":726},{"@type":"BreadcrumbList","@id":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/o-que-e-funcao-afim\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/militares.estrategia.com\/portal\/"},{"@type":"ListItem","position":2,"name":"Mat\u00e9rias e Dicas","item":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/"},{"@type":"ListItem","position":3,"name":"Matem\u00e1tica","item":"https:\/\/militares.estrategia.com\/portal\/materias-e-dicas\/matematica\/"},{"@type":"ListItem","position":4,"name":"O que \u00e9 Fun\u00e7\u00e3o Afim e quais suas propriedades?"}]},{"@type":"WebSite","@id":"https:\/\/militares.estrategia.com\/portal\/#website","url":"https:\/\/militares.estrategia.com\/portal\/","name":"Estrat\u00e9gia Militares","description":"","publisher":{"@id":"https:\/\/militares.estrategia.com\/portal\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/militares.estrategia.com\/portal\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"pt-BR"},{"@type":"Organization","@id":"https:\/\/militares.estrategia.com\/portal\/#organization","name":"Estrat\u00e9gia Militares","url":"https:\/\/militares.estrategia.com\/portal\/","logo":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/militares.estrategia.com\/portal\/#\/schema\/logo\/image\/","url":"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2021\/10\/logo-militares.webp","contentUrl":"https:\/\/militares.estrategia.com\/portal\/wp-content\/uploads\/2021\/10\/logo-militares.webp","width":346,"height":90,"caption":"Estrat\u00e9gia Militares"},"image":{"@id":"https:\/\/militares.estrategia.com\/portal\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/EstrategiaMilitares","https:\/\/x.com\/estrategiamilit","https:\/\/www.instagram.com\/estrategiamilitares\/","https:\/\/www.youtube.com\/channel\/UCRG_9hakCqXxnj_8TqCdgTA"]},{"@type":"Person","@id":"https:\/\/militares.estrategia.com\/portal\/#\/schema\/person\/46e1f54d690b6a851270112cd62d2f37","name":"Raquel Oshio","image":{"@type":"ImageObject","inLanguage":"pt-BR","@id":"https:\/\/militares.estrategia.com\/portal\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/fa4e62d5e59d9cf9995ea9c715a78807?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/fa4e62d5e59d9cf9995ea9c715a78807?s=96&d=mm&r=g","caption":"Raquel Oshio"},"description":"Raquel Kie \u00e9 amante de hist\u00f3rias e ca\u00e7adora de belezas escondidas. Jornalista de profiss\u00e3o e cora\u00e7\u00e3o. Desenhista e escritora de fic\u00e7\u00e3o nas horas vagas. Acredito no potencial transformador de todo trabalho feito com dedica\u00e7\u00e3o.","url":"https:\/\/militares.estrategia.com\/portal\/author\/raqueloshio\/"}]}},"_wl_alt_label":[],"wl:entity_url":"https:\/\/data.wordlift.io\/wl110246\/post\/o-que-e-funcao-afim-e-quais-suas-propriedades-60843","_links":{"self":[{"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/posts\/60843","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/comments?post=60843"}],"version-history":[{"count":4,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/posts\/60843\/revisions"}],"predecessor-version":[{"id":79443,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/posts\/60843\/revisions\/79443"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/media\/60844"}],"wp:attachment":[{"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/media?parent=60843"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/categories?post=60843"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/tags?post=60843"},{"taxonomy":"wl_entity_type","embeddable":true,"href":"https:\/\/militares.estrategia.com\/portal\/wp-json\/wp\/v2\/wl_entity_type?post=60843"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}