{"id":11811,"date":"2014-02-24T15:00:04","date_gmt":"2014-02-24T15:00:04","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=11811"},"modified":"2022-01-23T15:21:42","modified_gmt":"2022-01-23T15:21:42","slug":"grafico-de-uma-funcao-g","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=11811","title":{"rendered":"Gr\u00e1fico de uma fun\u00e7\u00e3o $g$"},"content":{"rendered":"<p><ul id='GTTabs_ul_11811' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_11811' class='GTTabs_curr'><a  id=\"11811_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_11811' ><a  id=\"11811_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_11811'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11812\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11812\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\" data-orig-size=\"467,409\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1393254367&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=\"Gr\u00e1fico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\" class=\"alignright  wp-image-11812\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\" alt=\"Gr\u00e1fico\" width=\"280\" height=\"245\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg 467w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13-300x262.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13-150x131.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13-400x350.jpg 400w\" sizes=\"auto, (max-width: 280px) 100vw, 280px\" \/><\/a>Na figura est\u00e1 representado parte do gr\u00e1fico de uma fun\u00e7\u00e3o quadr\u00e1tica $g$.<\/p>\n<p>Seja $f$ a fun\u00e7\u00e3o, de dom\u00ednio $\\mathbb{R}$, definida por $f\\left( x \\right) = \\left| x \\right|$.<\/p>\n<p>Qual \u00e9 o valor de $\\left( {f \\circ g} \\right)\\left( 3 \\right)$?<\/p>\n<p>Qual \u00e9 o valor de $\\left( {g \\circ f} \\right)\\left( 3 \\right)$?<\/p>\n<p>Qual \u00e9 o valor de $\\left( {f \\circ g} \\right)\\left( { &#8211; 3} \\right)$?<\/p>\n<p>Qual \u00e9 o valor de $\\left( {g \\circ f} \\right)\\left( { &#8211; 3} \\right)$?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_11811' onClick='GTTabs_show(1,11811)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_11811'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"11812\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=11812\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\" data-orig-size=\"467,409\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;AMMA&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;1393254367&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=\"Gr\u00e1fico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\" class=\"alignright  wp-image-11812\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg\" alt=\"Gr\u00e1fico\" width=\"280\" height=\"245\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13.jpg 467w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13-300x262.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13-150x131.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11-2-131-13-400x350.jpg 400w\" sizes=\"auto, (max-width: 280px) 100vw, 280px\" \/><\/a>\\[\\left( {f \\circ g} \\right)\\left( 3 \\right) = f\\left( {g\\left( 3 \\right)} \\right) = f\\left( 0 \\right) = \\left| 0 \\right| = 0\\]<\/p>\n<p>\\[\\left( {g \\circ f} \\right)\\left( 3 \\right) = g\\left( {f\\left( 3 \\right)} \\right) = g\\left( {\\left| 3 \\right|} \\right) = g\\left( 3 \\right) = 0\\]<\/p>\n<p>\\[\\left( {f \\circ g} \\right)\\left( { &#8211; 3} \\right) = f\\left( {g\\left( { &#8211; 3} \\right)} \\right) = f\\left( { &#8211; 4} \\right) = \\left| { &#8211; 4} \\right| = 4\\]<\/p>\n<p>\\[\\left( {g \\circ f} \\right)\\left( { &#8211; 3} \\right) = g\\left( {f\\left( { &#8211; 3} \\right)} \\right) = g\\left( {\\left| { &#8211; 3} \\right|} \\right) = g\\left( 3 \\right) = 0\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_11811' onClick='GTTabs_show(0,11811)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura est\u00e1 representado parte do gr\u00e1fico de uma fun\u00e7\u00e3o quadr\u00e1tica $g$. Seja $f$ a fun\u00e7\u00e3o, de dom\u00ednio $\\mathbb{R}$, definida por $f\\left( x \\right) = \\left| x \\right|$. Qual \u00e9 o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20911,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[98,97,153],"tags":[422,154],"series":[],"class_list":["post-11811","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-11--ano","category-aplicando","category-funcao-composta","tag-11-o-ano","tag-funcao-composta-2"],"views":2010,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2014\/02\/11V2Pag131-13_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11811","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=11811"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/11811\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20911"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=11811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=11811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=11811"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=11811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}