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{"id":25502,"date":"2023-04-29T18:35:40","date_gmt":"2023-04-29T17:35:40","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25502"},"modified":"2023-05-05T15:07:15","modified_gmt":"2023-05-05T14:07:15","slug":"quatro-funcoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25502","title":{"rendered":"Quatro fun\u00e7\u00f5es"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25502' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25502' class='GTTabs_curr'><a  id=\"25502_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25502' ><a  id=\"25502_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_25502'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>As fun\u00e7\u00f5es <em>f<\/em>, <em>g<\/em>, <em>h<\/em> e <em>j<\/em> t\u00eam como representa\u00e7\u00f5es gr\u00e1ficas D<sub>1<\/sub>, D<sub>2<\/sub>, D<sub>3<\/sub> e D<sub>4<\/sub>.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25504\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25504\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\" data-orig-size=\"270,268\" 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_Pag181-5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\" class=\"aligncenter wp-image-25504\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\" alt=\"\" width=\"270\" height=\"268\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png 270w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5-150x150.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5-80x80.png 80w\" sizes=\"auto, (max-width: 270px) 100vw, 270px\" \/><\/a><\/p>\n<ul style=\"list-style-type: square;\">\n<li>A fun\u00e7\u00e3o <em>f<\/em> \u00e9 uma fun\u00e7\u00e3o linear e \\(f\\left( 4 \\right) = 2\\);<\/li>\n<li>\\(g\\left( 0 \\right) = 3\\);<\/li>\n<li>a representa\u00e7\u00e3o gr\u00e1fica da fun\u00e7\u00e3o <em>h<\/em> \u00e9 uma reta de declive \\( &#8211; 2\\);<\/li>\n<li>a fun\u00e7\u00e3o <em>j<\/em> \u00e9 constante.<\/li>\n<\/ul>\n<ol>\n<li>Associa cada representa\u00e7\u00e3o gr\u00e1fica \u00e0 fun\u00e7\u00e3o que lhe corresponde.<\/li>\n<li>Escreve uma express\u00e3o alg\u00e9brica de cada uma das fun\u00e7\u00f5es.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25502' onClick='GTTabs_show(1,25502)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25502'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>As fun\u00e7\u00f5es <em>f<\/em>, <em>g<\/em>, <em>h<\/em> e <em>j<\/em> t\u00eam como representa\u00e7\u00f5es gr\u00e1ficas D<sub>1<\/sub>, D<sub>2<\/sub>, D<sub>3<\/sub> e D<sub>4<\/sub>.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25504\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25504\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\" data-orig-size=\"270,268\" 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_Pag181-5\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\" class=\"aligncenter wp-image-25504\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png\" alt=\"\" width=\"270\" height=\"268\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5.png 270w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5-150x150.png 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5-80x80.png 80w\" sizes=\"auto, (max-width: 270px) 100vw, 270px\" \/><\/a><\/p>\n<ul style=\"list-style-type: square;\">\n<li>\n<blockquote>A fun\u00e7\u00e3o <em>f<\/em> \u00e9 uma fun\u00e7\u00e3o linear e \\(f\\left( 4 \\right) = 2\\);<\/blockquote>\n<\/li>\n<li>\n<blockquote>\\(g\\left( 0 \\right) = 3\\);<\/blockquote>\n<\/li>\n<li>\n<blockquote>a representa\u00e7\u00e3o gr\u00e1fica da fun\u00e7\u00e3o <em>h<\/em> \u00e9 uma reta de declive \\( &#8211; 2\\);<\/blockquote>\n<\/li>\n<li>\n<blockquote>a fun\u00e7\u00e3o <em>j<\/em> \u00e9 constante.<\/blockquote>\n<\/li>\n<\/ul>\n<p>\u00a0<\/p>\n<ol>\n<li>A associa\u00e7\u00e3o de cada representa\u00e7\u00e3o gr\u00e1fica \u00e0 fun\u00e7\u00e3o que lhe corresponde \u00e9 a seguinte:<br \/>D<sub>1<\/sub>\u00a0\u2192 <em>h<\/em> ; D<sub>2<\/sub>\u00a0\u2192 <em>f<\/em> ; D<sub>3<\/sub> \u2192 <em>j <\/em>e ; D<sub>4\u00a0<\/sub>\u2192 <em>g<\/em><\/li>\n<li>Uma express\u00e3o alg\u00e9brica de cada uma das fun\u00e7\u00f5es:<\/li>\n<\/ol>\n<p>\\[\\begin{array}{*{20}{l}}{f\\left( x \\right) = \\frac{1}{2}x}&amp;{}&amp;{g\\left( x \\right) = &#8211; \\frac{1}{4}x + 3}&amp;{}&amp;{h\\left( x \\right) = &#8211; 2x &#8211; 2}&amp;{}&amp;{j\\left( x \\right) = &#8211; 2}\\end{array}\\]<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25502' onClick='GTTabs_show(0,25502)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado As fun\u00e7\u00f5es f, g, h e j t\u00eam como representa\u00e7\u00f5es gr\u00e1ficas D1, D2, D3 e D4. A fun\u00e7\u00e3o f \u00e9 uma fun\u00e7\u00e3o linear e \\(f\\left( 4 \\right) = 2\\); \\(g\\left( 0&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25505,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,344,712],"series":[],"class_list":["post-25502","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","tag-retas-paralelas-aos-eixos-coordenados"],"views":117,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag181-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25502","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=25502"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25502\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25505"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25502"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25502"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25502"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25502"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}