{"id":25249,"date":"2023-04-19T23:00:00","date_gmt":"2023-04-19T22:00:00","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25249"},"modified":"2023-05-05T15:01:25","modified_gmt":"2023-05-05T14:01:25","slug":"funcoes-afins","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25249","title":{"rendered":"Fun\u00e7\u00f5es afins"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25249' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25249' class='GTTabs_curr'><a  id=\"25249_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25249' ><a  id=\"25249_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_25249'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Escreve na forma can\u00f3nica a express\u00e3o alg\u00e9brica de cada uma das seguintes fun\u00e7\u00f5es e indica se se trata de uma fun\u00e7\u00e3o constante, de uma fun\u00e7\u00e3o linear ou uma fun\u00e7\u00e3o afim.<\/p>\n<table style=\"border-collapse: collapse; width: 100%;\">\n<tbody>\n<tr>\n<td style=\"width: 2.86458%;\">a)<\/td>\n<td style=\"width: 97.1354%; text-align: left;\">\\(f\\left( x \\right) = 2 &#8211; 3x\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">b)<\/td>\n<td style=\"width: 97.1354%; text-align: left;\">\\(g\\left( x \\right) = \\frac{3}{2}\\left( {x + 1} \\right) + 5\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">c)<\/td>\n<td style=\"width: 97.1354%; text-align: left;\">\\(h\\left( x \\right) = 5x &#8211; 3x\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">d)<\/td>\n<td style=\"width: 97.1354%; text-align: left;\">\\(i\\left( x \\right) = 5 &#8211; \\left( {x + 5} \\right)\\)<\/td>\n<\/tr>\n<tr>\n<td style=\"width: 2.86458%;\">e)<\/td>\n<td style=\"width: 97.1354%; text-align: left;\">\\(j\\left( x \\right) = 2\\left( {x &#8211; 1} \\right) &#8211; 2x\\)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25249' onClick='GTTabs_show(1,25249)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25249'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Escreve na forma can\u00f3nica a express\u00e3o alg\u00e9brica de cada uma das seguintes fun\u00e7\u00f5es e indica se se trata de uma fun\u00e7\u00e3o constante, de uma fun\u00e7\u00e3o linear ou uma fun\u00e7\u00e3o afim.<br \/><br \/><\/p>\n<\/blockquote>\n<table style=\"border-collapse: collapse; width: 100%; height: 162px;\">\n<tbody>\n<tr style=\"height: 20px;\">\n<td style=\"width: 2.86458%; height: 20px; text-align: left;\">Al\u00ednea<\/td>\n<td style=\"width: 48.5677%; height: 20px; text-align: left;\">Fun\u00e7\u00e3o<\/td>\n<td style=\"width: 24.2839%; height: 20px; text-align: left;\">Forma can\u00f3nica<\/td>\n<td style=\"width: 24.2839%; height: 20px; text-align: left;\">Classifica\u00e7\u00e3o<\/td>\n<\/tr>\n<tr style=\"height: 41px;\">\n<td style=\"width: 2.86458%; height: 41px;\">a)<\/td>\n<td style=\"width: 48.5677%; text-align: left; height: 41px;\">\\(f\\left( x \\right) = 2 &#8211; 3x\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 41px;\">\\(f\\left( x \\right) = &#8211; 3x + 2\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 41px;\">Fun\u00e7\u00e3o afim<\/td>\n<\/tr>\n<tr style=\"height: 41px;\">\n<td style=\"width: 2.86458%; height: 41px;\">b)<\/td>\n<td style=\"width: 48.5677%; text-align: left; height: 41px;\">\\(g\\left( x \\right) = \\frac{3}{2}\\left( {x + 1} \\right) + 5\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 41px;\">\\(g\\left( x \\right) = \\frac{3}{2}x + \\frac{{13}}{2}\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 41px;\">Fun\u00e7\u00e3o afim<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 2.86458%; height: 20px;\">c)<\/td>\n<td style=\"width: 48.5677%; text-align: left; height: 20px;\">\\(h\\left( x \\right) = 5x &#8211; 3x\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 20px;\">\\(h\\left( x \\right) = 2x\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 20px;\">Fun\u00e7\u00e3o linear<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 2.86458%; height: 20px;\">d)<\/td>\n<td style=\"width: 48.5677%; text-align: left; height: 20px;\">\\(i\\left( x \\right) = 5 &#8211; \\left( {x + 5} \\right)\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 20px;\">\\(i\\left( x \\right) = &#8211; x\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 20px;\">Fun\u00e7\u00e3o linear<\/td>\n<\/tr>\n<tr style=\"height: 20px;\">\n<td style=\"width: 2.86458%; height: 20px;\">e)<\/td>\n<td style=\"width: 48.5677%; text-align: left; height: 20px;\">\\(j\\left( x \\right) = 2\\left( {x &#8211; 1} \\right) &#8211; 2x\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 20px;\">\\(j\\left( x \\right) = &#8211; 2\\)<\/td>\n<td style=\"width: 24.2839%; text-align: left; height: 20px;\">Fun\u00e7\u00e3o constante<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25249' onClick='GTTabs_show(0,25249)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Escreve na forma can\u00f3nica a express\u00e3o alg\u00e9brica de cada uma das seguintes fun\u00e7\u00f5es e indica se se trata de uma fun\u00e7\u00e3o constante, de uma fun\u00e7\u00e3o linear ou uma fun\u00e7\u00e3o afim. a)&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19341,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,713,710],"series":[],"class_list":["post-25249","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-graficos-de-funcoes-afins","tag-8-o-ano","tag-funcao-afim","tag-funcao-constante","tag-funcao-linear"],"views":55,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat124.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25249","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=25249"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25249\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25249"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25249"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25249"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25249"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}