{"id":25080,"date":"2023-04-14T21:25:09","date_gmt":"2023-04-14T20:25:09","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=25080"},"modified":"2023-04-27T00:37:40","modified_gmt":"2023-04-26T23:37:40","slug":"expressoes-algebricas-de-tres-funcoes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=25080","title":{"rendered":"Express\u00f5es alg\u00e9bricas de tr\u00eas fun\u00e7\u00f5es"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_25080' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_25080' class='GTTabs_curr'><a  id=\"25080_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_25080' ><a  id=\"25080_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_25080'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera as express\u00f5es alg\u00e9bricas de tr\u00eas fun\u00e7\u00f5es.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25081\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25081\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1.png\" data-orig-size=\"484,214\" 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_Pag171-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1.png\" class=\"aligncenter wp-image-25081\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1-300x133.png\" alt=\"\" width=\"300\" height=\"133\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1-300x133.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1.png 484w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<ol>\n<li>Num mesmo referencial, representa as fun\u00e7\u00f5es graficamente.<\/li>\n<li>Qual \u00e9 a posi\u00e7\u00e3o relativa das tr\u00eas retas obtidas em 1.?<\/li>\n<li>Qual \u00e9 a ordenada na origem de cada uma das retas?<\/li>\n<li>Como se podem obter os gr\u00e1ficos das fun\u00e7\u00f5es \\(y = &#8211; 3x + 2\\) e \\(y = &#8211; 3x &#8211; 4\\) a partir de \\(y = &#8211; 3x\\)?<br \/>Explica a tua resposta.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_25080' onClick='GTTabs_show(1,25080)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_25080'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p>Considera as express\u00f5es alg\u00e9bricas de tr\u00eas fun\u00e7\u00f5es.<\/p>\n<\/blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"25081\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=25081\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1.png\" data-orig-size=\"484,214\" data-comments-opened=\"1\" 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is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator DA=Data Analysis, FI=Function Inspector, macro=Macros\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 0,'PC': 0,'DA': 0,'FI': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\napplet.setPreviewImage('data:image\/png;base64,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fun\u00e7\u00f5es est\u00e3o representadas graficamente no referencial apresentado acima.<br \/><br \/><\/li>\n<li>As tr\u00eas retas obtidas em 1. s\u00e3o paralelas, pois possuem igual declive.<br \/><br \/><\/li>\n<li>As ordenadas na origem s\u00e3o \\(b = 0\\), \\(b = 2\\) e \\(b = &#8211; 4\\), respetivamente, para \\(y = &#8211; 3x\\), \\(y = &#8211; 3x + 2\\) e \\(y = &#8211; 3x &#8211; 4\\).<br \/><br \/><\/li>\n<li>Obt\u00e9m-se o gr\u00e1fico da fun\u00e7\u00e3o \\(y = &#8211; 3x + 2\\) deslocando o gr\u00e1fico da fun\u00e7\u00e3o \\(y = &#8211; 3x\\) , paralelamente a si pr\u00f3prio, duas unidades para cima.<br \/>Obt\u00e9m-se o gr\u00e1fico da fun\u00e7\u00e3o \\(y = &#8211; 3x &#8211; 4\\) deslocando o gr\u00e1fico da fun\u00e7\u00e3o \\(y = &#8211; 3x\\) , paralelamente a si pr\u00f3prio, quatro unidades para baixo.<\/li>\n<\/ol>\n<p>Na anima\u00e7\u00e3o acima, utilize o gr\u00e1fico da fun\u00e7\u00e3o <em>j<\/em>, e os par\u00e2metros &#8220;a&#8221; e &#8220;b&#8221; adequadamente, para simular o descrito no ponto 4.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_25080' onClick='GTTabs_show(0,25080)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera as express\u00f5es alg\u00e9bricas de tr\u00eas fun\u00e7\u00f5es. Num mesmo referencial, representa as fun\u00e7\u00f5es graficamente. Qual \u00e9 a posi\u00e7\u00e3o relativa das tr\u00eas retas obtidas em 1.? Qual \u00e9 a ordenada na origem&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":25082,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,709],"tags":[424,345,344,711],"series":[],"class_list":["post-25080","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"],"views":84,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2023\/04\/8_Pag171-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25080","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=25080"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/25080\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/25082"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=25080"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=25080"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=25080"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=25080"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}