{"id":6622,"date":"2011-03-19T17:26:01","date_gmt":"2011-03-19T17:26:01","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6622"},"modified":"2022-01-11T23:16:58","modified_gmt":"2022-01-11T23:16:58","slug":"desenhe-os-graficos-das-funcoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6622","title":{"rendered":"Desenhe os gr\u00e1ficos das fun\u00e7\u00f5es"},"content":{"rendered":"<p><ul id='GTTabs_ul_6622' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6622' class='GTTabs_curr'><a  id=\"6622_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6622' ><a  id=\"6622_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_6622'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<ol>\n<li>Desenhe os gr\u00e1ficos das fun\u00e7\u00f5es: $f:x\\to {{x}^{3}}-12x+2$\u00a0 e\u00a0 $g:x\\to {{x}^{3}}$.\n<p>Considerando o ret\u00e2ngulo de visualiza\u00e7\u00e3o [-100, 100] por [-500, 500], pronuncie-se sobre o comportamento das duas fun\u00e7\u00f5es para valores muito grandes de $\\left| x \\right|$.<\/p>\n<\/li>\n<li>Resolva as equa\u00e7\u00f5es $\\frac{df}{dx}=0$ e $\\frac{dg}{dx}=0$ e procure os extremos relativos de cada uma das fun\u00e7\u00f5es.<\/li>\n<li>Pelos gr\u00e1ficos observados na al\u00ednea 1, esperava encontrar os resultados da al\u00ednea anterior?<\/li>\n<li>Estude o gr\u00e1fico das fun\u00e7\u00f5es no ret\u00e2ngulo de visualiza\u00e7\u00e3o [-4, 4] por [-20, 20] e elabore um relat\u00f3rio com o registo das suas observa\u00e7\u00f5es.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6622' onClick='GTTabs_show(1,6622)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6622'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j1.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6623\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6623\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j1.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"J1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j1.jpg\" class=\"alignnone size-full wp-image-6623\" title=\"J1\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j1.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j1.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j1-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>\u00a0 <a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g1.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6624\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6624\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g1.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"G1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g1.jpg\" class=\"alignnone size-full wp-image-6624\" title=\"G1\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g1.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g1.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g1-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>\u00a0 <a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g2.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6625\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6625\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g2.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"G2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g2.jpg\" class=\"alignnone size-full wp-image-6625\" title=\"G2\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g2.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g2.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g2-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>\n<p>Quando $x\\to -\\infty $, $f(x)\\to -\\infty $ e $g(x)\\to -\\infty $; quando $x\\to +\\infty $, $f(x)\\to +\\infty $ e $g(x)\\to +\\infty $.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>Ora,<br \/>\n\\[\\begin{array}{*{35}{l}}<br \/>\n\\frac{df}{dx}=0 &amp; \\Leftrightarrow\u00a0 &amp; 3{{x}^{2}}-12=0\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{x}^{2}}=4\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; x=-2\\vee x=2\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<table class=\"aligncenter\" style=\"width: 70%;\" border=\"2\" cellspacing=\"4\" cellpadding=\"4\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\">$x$<\/td>\n<td style=\"text-align: left;\">$-\\infty $<\/td>\n<td style=\"text-align: center;\">$-2$<\/td>\n<td><\/td>\n<td style=\"text-align: center;\">$2$<\/td>\n<td style=\"text-align: right;\">\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 $+\\infty $<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">$f'(x)$<\/td>\n<td style=\"text-align: center;\">+<\/td>\n<td style=\"text-align: center;\">$0$<\/td>\n<td style=\"text-align: center;\">&#8211;<\/td>\n<td style=\"text-align: center;\">$0$<\/td>\n<td style=\"text-align: center;\">+<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">$f(x)$<\/td>\n<td style=\"text-align: center;\">$\\nearrow $<\/td>\n<td style=\"text-align: center;\">$18$<\/td>\n<td style=\"text-align: center;\">$\\searrow $<\/td>\n<td style=\"text-align: center;\">$-14$<\/td>\n<td style=\"text-align: center;\">$\\nearrow $<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A fun\u00e7\u00e3o f admite 18 como m\u00e1ximo relativo (para $x=-2$) e $-14$ como m\u00ednimo relativo ($x=2$).<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\n\\frac{dg}{dx}=0 &amp; \\Leftrightarrow\u00a0 &amp; 3{{x}^{2}}=0\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; x=0\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<table class=\"aligncenter\" style=\"width: 70%;\" border=\"2\" cellspacing=\"4\" cellpadding=\"4\" align=\"center\">\n<tbody>\n<tr>\n<td style=\"text-align: center;\">$x$<\/td>\n<td>$-\\infty $<\/td>\n<td style=\"text-align: center;\">$0$<\/td>\n<td>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 $+\\infty $<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">$g'(x)$<\/td>\n<td style=\"text-align: center;\">+<\/td>\n<td style=\"text-align: center;\">$0$<\/td>\n<td style=\"text-align: center;\">+<\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\">$g(x)$<\/td>\n<td style=\"text-align: center;\">$\\nearrow $<\/td>\n<td style=\"text-align: center;\">$0$<\/td>\n<td style=\"text-align: center;\">$\\nearrow $<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>A fun\u00e7\u00e3o g n\u00e3o possui extremos.<br \/>\n\u00ad<\/p>\n<\/li>\n<li>Os gr\u00e1ficos observados na al\u00ednea 1 n\u00e3o levavam a supor a exist\u00eancia de extremos relativamente \u00e0 fun\u00e7\u00e3o f ou, caso esta os admitisse, tamb\u00e9m a fun\u00e7\u00e3o g seria de admitir que os tivesse.<br \/>\n\u00ad<\/li>\n<li style=\"text-align: left;\"><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6626\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6626\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"J2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\" class=\"alignnone size-full wp-image-6626\" title=\"J2\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>\u00a0 <a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g3.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6627\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6627\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g3.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"G3\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g3.jpg\" class=\"alignnone size-full wp-image-6627\" title=\"G3\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g3.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g3.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g3-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>\u00a0 <a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g4.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6628\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6628\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g4.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"G4\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g4.jpg\" class=\"alignnone size-full wp-image-6628\" title=\"G4\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g4.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g4.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g4-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>\n<p>A fun\u00e7\u00e3o f \u00e9 estritamente crescente em $\\left] -\\infty ,-2 \\right[$ e em $\\left] 2,+\\infty\u00a0 \\right[$; \u00e9 estritamente decrescente em $\\left] -2,2 \\right[$.<br \/>\nA fun\u00e7\u00e3o f admite 18 como m\u00e1ximo relativo (para $x=-2$) e $-14$ como m\u00ednimo relativo (para $x=2$).<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6626\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6626\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"J2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\" class=\"alignnone size-full wp-image-6626\" title=\"J2\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-j2-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a>\u00a0 <a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g5.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6629\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6629\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g5.jpg\" data-orig-size=\"198,134\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"G5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g5.jpg\" class=\"alignnone size-full wp-image-6629\" title=\"G5\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g5.jpg\" alt=\"\" width=\"198\" height=\"134\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g5.jpg 198w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/p195-41-g5-150x101.jpg 150w\" sizes=\"auto, (max-width: 198px) 100vw, 198px\" \/><\/a><\/p>\n<p>A fun\u00e7\u00e3o g\u00a0\u00e9 estritamente crescente, por isso n\u00e3o admite extremos relativos.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6622' onClick='GTTabs_show(0,6622)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Desenhe os gr\u00e1ficos das fun\u00e7\u00f5es: $f:x\\to {{x}^{3}}-12x+2$\u00a0 e\u00a0 $g:x\\to {{x}^{3}}$. Considerando o ret\u00e2ngulo de visualiza\u00e7\u00e3o [-100, 100] por [-500, 500], pronuncie-se sobre o comportamento das duas fun\u00e7\u00f5es para valores muito grandes&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19446,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,134],"tags":[136,144],"series":[],"class_list":["post-6622","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-derivadas","tag-derivada","tag-extremos-relativos"],"views":4006,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/03\/grafico_11-P195-Ex41.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6622","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=6622"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6622\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19446"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6622"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6622"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6622"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6622"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}