{"id":367,"date":"2023-07-04T11:05:27","date_gmt":"2023-07-04T11:05:27","guid":{"rendered":"https:\/\/mathority.org\/pt\/funcao-constante\/"},"modified":"2023-07-04T11:05:27","modified_gmt":"2023-07-04T11:05:27","slug":"funcao-constante","status":"publish","type":"post","link":"https:\/\/mathority.org\/pt\/funcao-constante\/","title":{"rendered":"Fun\u00e7\u00e3o constante"},"content":{"rendered":"<p>Neste artigo explicamos o que \u00e9 uma fun\u00e7\u00e3o constante e qual a sua representa\u00e7\u00e3o gr\u00e1fica. Al\u00e9m disso, voc\u00ea poder\u00e1 ver diversos exemplos de fun\u00e7\u00f5es constantes e todas as caracter\u00edsticas deste tipo de fun\u00e7\u00e3o. E, por fim, voc\u00ea poder\u00e1 treinar com exerc\u00edcios resolvidos de fun\u00e7\u00f5es constantes. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-funcion-constante\"><\/span> O que \u00e9 uma fun\u00e7\u00e3o constante?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Uma fun\u00e7\u00e3o constante \u00e9 aquela fun\u00e7\u00e3o que sempre assume a mesma imagem para qualquer valor da vari\u00e1vel independente (x)<\/strong> , ou seja, uma fun\u00e7\u00e3o constante tem a forma <strong>f(x)=k<\/strong> , onde k \u00e9 um n\u00famero real qualquer.<\/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-252f9958e223f77bf50cb3b92a7c3e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> A representa\u00e7\u00e3o gr\u00e1fica de uma fun\u00e7\u00e3o constante \u00e9 uma linha horizontal.<\/p>\n<p> Por exemplo, todas as fun\u00e7\u00f5es a seguir s\u00e3o constantes: <\/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-7ac719751418cacb00bd9e0d0ab9655d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=1 \\qquad f(x)=7 \\qquad f(x)=5\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"271\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"representacion-grafica-de-una-funcion-constante\"><\/span> Representa\u00e7\u00e3o gr\u00e1fica de uma fun\u00e7\u00e3o constante<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Depois de vermos o conceito de fun\u00e7\u00e3o constante, veremos como representar uma fun\u00e7\u00e3o constante em um gr\u00e1fico.<\/p>\n<p> <strong>Representar graficamente uma fun\u00e7\u00e3o constante<\/strong> \u00e9 bastante simples, basta desenhar uma linha horizontal no valor da fun\u00e7\u00e3o (k).<\/p>\n<p> Veja os exemplos a seguir nos quais representamos tr\u00eas fun\u00e7\u00f5es constantes diferentes em um gr\u00e1fico: <\/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\/fonctions-constantes.webp\" alt=\"fun\u00e7\u00f5es constantes\" class=\"wp-image-475\" width=\"361\" height=\"366\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Observe que cada fun\u00e7\u00e3o constante \u00e9 paralela ao eixo x.<\/p>\n<p> Por outro lado, deve-se ter em mente que uma linha vertical n\u00e3o \u00e9 uma fun\u00e7\u00e3o constante. Na verdade, uma linha vertical nem sequer \u00e9 uma fun\u00e7\u00e3o, pois por defini\u00e7\u00e3o uma fun\u00e7\u00e3o s\u00f3 pode ter uma imagem para cada valor de x. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"caracteristicas-de-la-funcion-constante\"><\/span> Caracter\u00edsticas da fun\u00e7\u00e3o constante<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A seguir, analisaremos as propriedades da fun\u00e7\u00e3o constante. Considere uma fun\u00e7\u00e3o constante de qualquer valor:<\/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-252f9958e223f77bf50cb3b92a7c3e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> O dom\u00ednio da fun\u00e7\u00e3o constante s\u00e3o todos os n\u00fameros reais:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-0cd1539b66edeb38040ed80168e1fd9b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Dom } f = \\mathbb{R}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"90\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> O caminho ou intervalo da fun\u00e7\u00e3o constante \u00e9 apenas o valor da constante:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-e295dcab3df9d2d4025719a409f13aa2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\text{Im } f= k\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"70\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<ul>\n<li> \u00c9 uma fun\u00e7\u00e3o cont\u00ednua e par, porque a fun\u00e7\u00e3o sempre assume o mesmo valor:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-c6ab765d54f092c092a5c145ea8c0b16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle f(x)=f(-x)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"106\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> A fun\u00e7\u00e3o constante n\u00e3o \u00e9 crescente nem decrescente, \u00e9 um tipo de fun\u00e7\u00e3o que sempre tem inclina\u00e7\u00e3o zero:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-677ddb33cbc84708fb03582c5c4e82bb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"m=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"48\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<ul>\n<li> Sempre cruza o eixo OY no ponto (0,k).<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-1c5f59beefc11cf1ba33ebd2a49aae97_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"(0,k)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"38\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> Toda fun\u00e7\u00e3o constante \u00e9 um polin\u00f4mio de grau zero.<\/li>\n<\/ul>\n<ul>\n<li> Sim\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-7a7958ffe8d9ca345b7d82589adf9fca_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\\neq 0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"42\" style=\"vertical-align: -4px;\"><\/p>\n<p> a fun\u00e7\u00e3o constante n\u00e3o tem raiz, em vez disso, se<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-d9e234749ecc0a2852f141f388e2d253_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k=0\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"42\" style=\"vertical-align: 0px;\"><\/p>\n<p> todos os n\u00fameros reais s\u00e3o ra\u00edzes da fun\u00e7\u00e3o constante.<\/li>\n<\/ul>\n<ul>\n<li> O limite da fun\u00e7\u00e3o constante quando x se aproxima de mais infinito ou menos infinito \u00e9 igual ao valor da constante:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-4c074c729c809197e1ce413d8203281a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to +\\infty} f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"27\" width=\"116\" style=\"vertical-align: -13px;\"><\/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-1335f3c376a34abee626a7a97dfc27d0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\lim_{x\\to -\\infty} f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"26\" width=\"116\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<ul>\n<li> A derivada da fun\u00e7\u00e3o constante \u00e9 sempre zero:<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-bfda14420ab2f4394efd8ff5998c8338_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k \\ \\longrightarrow \\ f'(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"190\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Na verdade, a defini\u00e7\u00e3o da fun\u00e7\u00e3o constante tamb\u00e9m pode ser feita a partir da no\u00e7\u00e3o de derivada: uma fun\u00e7\u00e3o \u00e9 constante se a sua derivada desaparece em todo o seu dom\u00ednio.<\/p>\n<ul>\n<li> A integral da fun\u00e7\u00e3o constante \u00e9 a fun\u00e7\u00e3o linear (ou afim):<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/ql-cache\/quicklatex.com-878349248493e23144f9c1e86a7c7797_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\int k \\ dx= x + C\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"125\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\/funcao-linear-e-afim\/\">O que \u00e9 uma fun\u00e7\u00e3o linear?<\/a><\/span> <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"funcion-constante-en-un-intervalo\"><\/span> Fun\u00e7\u00e3o constante em um intervalo<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Vimos como uma fun\u00e7\u00e3o \u00e9 constante, por\u00e9m, uma fun\u00e7\u00e3o s\u00f3 pode ser constante num intervalo do seu dom\u00ednio.<\/p>\n<p> Para entender este conceito, voc\u00ea precisa saber quais fun\u00e7\u00f5es s\u00e3o definidas em chunks, ent\u00e3o antes de continuar recomendamos dar uma olhada na seguinte explica\u00e7\u00e3o:<\/p>\n<p> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Veja:<\/strong> <span style=\"text-decoration: underline;\"><a href=\"https:\/\/mathority.org\/pt\">O que \u00e9 uma fun\u00e7\u00e3o por partes?<\/a><\/span><\/p>\n<p> Depois de saber o que s\u00e3o esses tipos de fun\u00e7\u00f5es, observe a fun\u00e7\u00e3o definida nas partes mostradas abaixo: <\/p>\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/mathority.org\/wp-content\/uploads\/2023\/07\/exercices-resolus-de-fonctions-definies-par-parties.webp\" alt=\"\" class=\"wp-image-209\" width=\"396\" height=\"308\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<p> Como voc\u00ea pode ver no gr\u00e1fico, a fun\u00e7\u00e3o n\u00e3o \u00e9 constante em todos os n\u00fameros em seu dom\u00ednio. Mas \u00e9 constante no intervalo [-2,4), portanto \u00e9 uma fun\u00e7\u00e3o constante apenas em um intervalo. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicios-resueltos-de-la-funcion-constante\"><\/span> Problemas corrigidos de fun\u00e7\u00e3o constante<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<h3 class=\"wp-block-heading\"> Exerc\u00edcio 1<\/h3>\n<p> Identifique quais das seguintes fun\u00e7\u00f5es s\u00e3o constantes: <\/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-3b3ecb3e4bc5308d1f91be0b2020bf36_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=4\\qquad g(x)=x+3\\qquad h(x)=0\\qquad z(x)=5x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"413\" 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>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> A primeira fun\u00e7\u00e3o,<\/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-288f7c17c09c261515cbaa5af9d62df2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=4\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u00e9 uma fun\u00e7\u00e3o constante, pois \u00e9 sempre 4, qualquer que seja o valor que a vari\u00e1vel x assume.<\/p>\n<p class=\"has-text-align-left\"> A segunda fun\u00e7\u00e3o,<\/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-d48011fe5aadd6fe246aaade5c6ba190_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g(x)=x+3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<p> , n\u00e3o \u00e9 uma fun\u00e7\u00e3o constante porque o valor da fun\u00e7\u00e3o varia dependendo do valor de x. \u00c9 uma fun\u00e7\u00e3o afim.<\/p>\n<p class=\"has-text-align-left\"> A terceira fun\u00e7\u00e3o,<\/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-49fca261440e6bc0f280044a3b4dd463_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"h(x)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<p> , \u00e9 sempre igual a 0 para qualquer valor de x, portanto \u00e9 de fato uma fun\u00e7\u00e3o constante.<\/p>\n<p class=\"has-text-align-left\"> A quarta fun\u00e7\u00e3o,<\/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-fa2128a55db044662a643a74ef2313ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"z(x)=5x\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"><\/p>\n<p> , n\u00e3o \u00e9 uma fun\u00e7\u00e3o constante porque varia dependendo do valor de x. \u00c9 uma fun\u00e7\u00e3o linear.<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\"> Exerc\u00edcio 2<\/h3>\n<p> Encontre a fun\u00e7\u00e3o constante que passa pelo ponto (0,6). <\/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>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Algebricamente, a f\u00f3rmula da fun\u00e7\u00e3o constante tem sempre a mesma forma:<\/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-252f9958e223f77bf50cb3b92a7c3e35_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=k\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> E graficamente a fun\u00e7\u00e3o constante \u00e9 sempre uma reta horizontal, portanto, as coordenadas de uma fun\u00e7\u00e3o constante s\u00e3o sempre iguais e de valor<\/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-4a22b46fd6f4018a6b70bc870f75be7b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k.\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Como o ponto pelo qual a fun\u00e7\u00e3o passa tem coordenada y=6, a fun\u00e7\u00e3o constante que procuramos neste problema deve ser: <\/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-294086925150bbaa9b07e694db849fef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"67\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h3 class=\"wp-block-heading\">Exerc\u00edcio 3<\/h3>\n<p> Trace as seguintes fun\u00e7\u00f5es constantes no mesmo gr\u00e1fico: <\/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-59280d46b59147c1d6c9ea2b345720fb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f(x)=4\\qquad f(x)=1\\qquad f(x)=-6\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"286\" 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>veja solu\u00e7\u00e3o<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Para representar cada fun\u00e7\u00e3o constante, basta desenhar uma linha reta horizontal na altura de cada constante: <\/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\/exemples-de-fonctions-constantes.webp\" alt=\"exemplos de fun\u00e7\u00f5es constantes\" class=\"wp-image-489\" width=\"350\" height=\"438\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<\/div>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Neste artigo explicamos o que \u00e9 uma fun\u00e7\u00e3o constante e qual a sua representa\u00e7\u00e3o gr\u00e1fica. Al\u00e9m disso, voc\u00ea poder\u00e1 ver diversos exemplos de fun\u00e7\u00f5es constantes e todas as caracter\u00edsticas deste tipo de fun\u00e7\u00e3o. E, por fim, voc\u00ea poder\u00e1 treinar com exerc\u00edcios resolvidos de fun\u00e7\u00f5es constantes. O que \u00e9 uma fun\u00e7\u00e3o constante? Uma fun\u00e7\u00e3o constante \u00e9 &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/mathority.org\/pt\/funcao-constante\/\"> <span class=\"screen-reader-text\">Fun\u00e7\u00e3o constante<\/span> Leia mais &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":[22],"tags":[],"class_list":["post-367","post","type-post","status-publish","format-standard","hentry","category-representacao-de-funcao"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Fun\u00e7\u00e3o constante - Mathority<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mathority.org\/pt\/funcao-constante\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fun\u00e7\u00e3o constante - Mathority\" \/>\n<meta property=\"og:description\" content=\"Neste artigo explicamos o que \u00e9 uma fun\u00e7\u00e3o constante e qual a sua representa\u00e7\u00e3o gr\u00e1fica. Al\u00e9m disso, voc\u00ea poder\u00e1 ver diversos exemplos de fun\u00e7\u00f5es constantes e todas as caracter\u00edsticas deste tipo de fun\u00e7\u00e3o. E, por fim, voc\u00ea poder\u00e1 treinar com exerc\u00edcios resolvidos de fun\u00e7\u00f5es constantes. O que \u00e9 uma fun\u00e7\u00e3o constante? 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