{"id":25050,"date":"2023-04-14T18:00:09","date_gmt":"2023-04-14T17:00:09","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25050"},"modified":"2023-04-22T17:03:37","modified_gmt":"2023-04-22T16:03:37","slug":"uma-expressao-algebrica-da-funcao-f","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25050","title":{"rendered":"Uma express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o <i>f<\/>"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25050' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25050' class='GTTabs_curr'><a  id=\"25050_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25050' ><a  id=\"25050_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_25050'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Na figura, est\u00e1 representada uma reta <em>s<\/em>, gr\u00e1fico da fun\u00e7\u00e3o <em>f<\/em>, com declive \\(\\frac{1}{2}\\) e que interseta o eixo <em>Oy<\/em> no ponto de coordenadas \\(\\left( {0,\\,1} \\right)\\).<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25051\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25051\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png\" data-orig-size=\"340,272\" 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_Pag169-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png\" class=\"aligncenter wp-image-25051\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2-300x240.png\" alt=\"\" width=\"270\" height=\"216\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2-300x240.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png 340w\" sizes=\"auto, (max-width: 270px) 100vw, 270px\" \/><\/a><\/p>\n<p>Indica uma express\u00e3o alg\u00e9brica para a fun\u00e7\u00e3o <em>f<\/em>.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25050' onClick='GTTabs_show(1,25050)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25050'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Na figura, est\u00e1 representada uma reta <em>s<\/em>, gr\u00e1fico da fun\u00e7\u00e3o <em>f<\/em>, com declive \\(\\frac{1}{2}\\) e que interseta o eixo <em>Oy<\/em> no ponto de coordenadas \\(\\left( {0,\\,1} \\right)\\).<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25051\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25051\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png\" data-orig-size=\"340,272\" 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_Pag169-2\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png\" class=\"aligncenter wp-image-25051\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2-300x240.png\" alt=\"\" width=\"270\" height=\"216\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2-300x240.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2.png 340w\" sizes=\"auto, (max-width: 270px) 100vw, 270px\" \/><\/a><\/p>\n<blockquote>\n<p>Indica uma express\u00e3o alg\u00e9brica para a fun\u00e7\u00e3o <em>f<\/em>.<\/p>\n<\/blockquote>\n<p><br \/>Sabe-se que o declive da reta \u00e9 \\(\\frac{1}{2}\\), isto \u00e9, \\({a_s} = \\frac{1}{2}\\).<br \/>Como a reta interseta o eixo <em>Oy<\/em> no ponto de coordenadas \\(\\left( {0,\\,1} \\right)\\), ent\u00e3o a ordenada na origem da reta s \u00e9 \\({b_s} = 1\\).\u00a0<\/p>\n<p>Assim, \\(y = \\frac{1}{2}x + 1\\) \u00e9 uma equa\u00e7\u00e3o da reta s.<br \/>Logo, \\(f\\left( x \\right) = \\frac{1}{2}x + 1\\) \u00e9 uma express\u00e3o alg\u00e9brica para a fun\u00e7\u00e3o <em>f<\/em>.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25050' onClick='GTTabs_show(0,25050)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura, est\u00e1 representada uma reta s, gr\u00e1fico da fun\u00e7\u00e3o f, com declive \\(\\frac{1}{2}\\) e que interseta o eixo Oy no ponto de coordenadas \\(\\left( {0,\\,1} \\right)\\). Indica uma express\u00e3o alg\u00e9brica&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25052,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,344],"series":[],"class_list":["post-25050","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-grafico"],"views":118,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag169-2_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25050","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=25050"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25050\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25052"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25050"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25050"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25050"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25050"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}