{"id":14640,"date":"2018-04-18T09:43:25","date_gmt":"2018-04-18T08:43:25","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14640"},"modified":"2022-01-09T22:18:44","modified_gmt":"2022-01-09T22:18:44","slug":"observa-o-grafico-da-funcao-f","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14640","title":{"rendered":"Observa o gr\u00e1fico da fun\u00e7\u00e3o <em>f<\/em>"},"content":{"rendered":"<p><ul id='GTTabs_ul_14640' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14640' class='GTTabs_curr'><a  id=\"14640_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14640' ><a  id=\"14640_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_14640'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14641\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14641\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png\" data-orig-size=\"445,324\" 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=\"Gr\u00e1fico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png\" class=\"alignright wp-image-14641\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6-300x218.png\" alt=\"\" width=\"380\" height=\"277\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6-300x218.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png 445w\" sizes=\"auto, (max-width: 380px) 100vw, 380px\" \/><\/a>Observa o gr\u00e1fico da fun\u00e7\u00e3o <em>f<\/em>.<\/p>\n<ol>\n<li>Verifica que a fun\u00e7\u00e3o <em>f<\/em> \u00e9 de proporcionalidade inversa e determina a constante de proporcionalidade.<\/li>\n<li>Escreve uma express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o representada no gr\u00e1fico.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14640' onClick='GTTabs_show(1,14640)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14640'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14641\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14641\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png\" data-orig-size=\"445,324\" 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=\"Gr\u00e1fico\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png\" class=\"alignright wp-image-14641\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6-300x218.png\" alt=\"\" width=\"380\" height=\"277\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6-300x218.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6.png 445w\" sizes=\"auto, (max-width: 380px) 100vw, 380px\" \/><\/a>A fun\u00e7\u00e3o <em>f<\/em> \u00e9 de proporcionalidade inversa, pois \u00e9 constante o produto das medidas correspondentes das duas grandezas:\\[2 \\times 5 = 4 \\times 2,5 = 5 \\times 2 = 8 \\times 1,25 = 10 \\times 1 = 10\\]A constante de proporcionalidade inversa \u00e9 \\(10\\).<br \/>\n\u00ad<\/li>\n<li>Como as grandezas s\u00e3o inversamente proporcionais, ent\u00e3o \\(\\begin{array}{*{20}{l}}{x \\times y = 10}&amp; \\Leftrightarrow &amp;{y = \\frac{{10}}{x}}\\end{array}\\).<br \/>\nLogo, a fun\u00e7\u00e3o <em>f<\/em> pode ser definida por \\(f\\left( x \\right) = \\frac{{10}}{x}\\).<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14640' onClick='GTTabs_show(0,14640)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Observa o gr\u00e1fico da fun\u00e7\u00e3o f. Verifica que a fun\u00e7\u00e3o f \u00e9 de proporcionalidade inversa e determina a constante de proporcionalidade. Escreve uma express\u00e3o alg\u00e9brica da fun\u00e7\u00e3o representada no gr\u00e1fico. Resolu\u00e7\u00e3o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":14642,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,249],"tags":[426,250],"series":[],"class_list":["post-14640","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-proporcionalidade-inversa-e-funcoes-algebricas","tag-9-o-ano","tag-proporcionalidade-inversa-2"],"views":1719,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag107-6a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14640","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=14640"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14640\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14642"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14640"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}