{"id":7679,"date":"2020-05-15T18:08:53","date_gmt":"2020-05-15T17:08:53","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=7679"},"modified":"2020-05-15T18:12:15","modified_gmt":"2020-05-15T17:12:15","slug":"correction-exo-fonction-9-affine","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=7679","title":{"rendered":"Correction exo fonction 9 affine"},"content":{"rendered":"<p>D\u00e9terminer le signe de la fonction \\(f\\) d\u00e9finie sur \\(\\mathbb{R}\\) par \\(f(x) = &#8211; 2 x + 5\\)<\/p>\n<p>\\(f\\) est une fonction affine sous la forme \\(f(x)=ax+b\\) avec \\(a=-2\\) et \\(b=+5\\)<\/p>\n<p>2 m\u00e9thodes pour d\u00e9terminer la racine de \\(f\\) :<\/p>\n<ul>\n<li>Le cours : Sa racine vaut \\(x_0=-\\dfrac{b}{a}= &#8211; \\dfrac{5}{-2}=\\dfrac{5}{2}\\)<\/li>\n<li>R\u00e9solution d&rsquo;\u00e9quation : On r\u00e9sout \\(-2x+5=0 \\iff x=\\dfrac{5}{2}\\)<\/li>\n<\/ul>\n<p>On sait que \\(f\\) est du signe de \\(a=-2\\), donc n\u00e9gative \u00ab\u00a0<em>\u00e0 droite de la racine<\/em>\u00ab\u00a0, donc sur \\(]\\dfrac{5}{2};+\\infty[\\)<\/p>\n<p>Inversement, \\(f\\) est positive sur \\(]-\\infty; \\dfrac{5}{2}[\\)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>D\u00e9terminer le signe de la fonction \\(f\\) d\u00e9finie sur \\(\\mathbb{R}\\) par \\(f(x) = &#8211; 2 x + 5\\) \\(f\\) est une fonction affine sous la forme \\(f(x)=ax+b\\) avec \\(a=-2\\) et \\(b=+5\\) 2 m\u00e9thodes pour d\u00e9terminer la racine de \\(f\\) : &hellip; <a href=\"https:\/\/mathsguyon.fr\/?page_id=7679\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-7679","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7679","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7679"}],"version-history":[{"count":5,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7679\/revisions"}],"predecessor-version":[{"id":7684,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7679\/revisions\/7684"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7679"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}