{"id":25304,"date":"2023-04-21T10:34:40","date_gmt":"2023-04-21T09:34:40","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25304"},"modified":"2023-05-05T15:03:35","modified_gmt":"2023-05-05T14:03:35","slug":"observa-os-seguintes-graficos","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25304","title":{"rendered":"Observa os seguintes gr\u00e1ficos"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25304' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25304' class='GTTabs_curr'><a  id=\"25304_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25304' ><a  id=\"25304_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_25304'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Observa os seguintes gr\u00e1ficos.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25305\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25305\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png\" data-orig-size=\"409,452\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag177-13\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png\" class=\"aligncenter wp-image-25305\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13-271x300.png\" alt=\"\" width=\"320\" height=\"354\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13-271x300.png 271w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png 409w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<ol>\n<li>Alguma das fun\u00e7\u00f5es representadas \u00e9 uma fun\u00e7\u00e3o linear?<br \/>Explica a tua resposta.<\/li>\n<li>Escreve a express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o <em>f<\/em>.<\/li>\n<li>O que t\u00eam de comum as duas retas?<\/li>\n<li>Qual \u00e9 a ordenada na origem da reta que representa a fun\u00e7\u00e3o <em>g<\/em>?<\/li>\n<li>Determina uma express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o <em>g<\/em>.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25304' onClick='GTTabs_show(1,25304)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25304'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Observa os seguintes gr\u00e1ficos.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25305\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25305\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png\" data-orig-size=\"409,452\" 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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag177-13\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png\" class=\"aligncenter wp-image-25305\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13-271x300.png\" alt=\"\" width=\"320\" height=\"354\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13-271x300.png 271w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13.png 409w\" sizes=\"auto, (max-width: 320px) 100vw, 320px\" \/><\/a><\/p>\n<p>\u00a0<\/p>\n<ol>\n<li>Sim, uma das fun\u00e7\u00f5es representadas \u00e9 uma fun\u00e7\u00e3o linear: a fun\u00e7\u00e3o <em>f<\/em>.<br \/>A fun\u00e7\u00e3o <em>f<\/em> \u00e9 linear, pois o gr\u00e1fico \u00e9 uma reta n\u00e3o vertical que cont\u00e9m a origem do referencial.<br \/><br \/><\/li>\n<li>Visto que \u00e9 \\(f\\left( 1 \\right) = 2\\) o declive da reta que \u00e9 o gr\u00e1fico da fun\u00e7\u00e3o <em>f<\/em>, ent\u00e3o uma express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o <em>f<\/em>\u00a0\u00e9 \\(f\\left( x \\right) = 2x\\).<br \/><br \/><\/li>\n<li>As duas retas t\u00eam igual declive.<br \/><br \/><\/li>\n<li>\u00c9 \\( &#8211; 2\\) a ordenada na origem da reta que representa a fun\u00e7\u00e3o <em>g<\/em>, pois o ponto de coordenadas \\(\\left( {0, &#8211; 2} \\right)\\) \u00e9 um ponto dessa reta.<br \/><br \/><\/li>\n<li>Uma express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o <em>g<\/em>\u00a0\u00e9 \\(g\\left( x \\right) = 2x &#8211; 2\\).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25304' onClick='GTTabs_show(0,25304)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Observa os seguintes gr\u00e1ficos. Alguma das fun\u00e7\u00f5es representadas \u00e9 uma fun\u00e7\u00e3o linear?Explica a tua resposta. Escreve a express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o f. O que t\u00eam de comum as duas retas? Qual&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25306,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,710,344],"series":[],"class_list":["post-25304","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-linear","tag-grafico"],"views":95,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag177-13_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25304","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=25304"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25304\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25306"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25304"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25304"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25304"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25304"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}