{"id":1350,"date":"2016-10-05T12:33:55","date_gmt":"2016-10-05T17:33:55","guid":{"rendered":"http:\/\/pascal-tic.org\/math\/?page_id=1350"},"modified":"2020-01-21T09:04:39","modified_gmt":"2020-01-21T14:04:39","slug":"fonction-continue-et-discontinue","status":"publish","type":"page","link":"https:\/\/pascal-tic.org\/math\/fonction-continue-et-discontinue\/","title":{"rendered":"Fonction continue et discontinue"},"content":{"rendered":"

Fonction continue et discontinue<\/h1><\/div><\/div><\/div><\/div><\/div><\/section>
<\/i><\/div>

Une fonction qui ne pr\u00e9sente pas des \u00ab sauts \u00bb ou pouvant se tracer sans lever le crayon est continue<\/b>.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/section>

On dira aussi que la fonction est continue si on peut la tracer sans lever le crayon.<\/p>\n

Autre fait int\u00e9ressant, nous calculerons le m\u00eame y pour les deux fonctions de chaque c\u00f4t\u00e9 de la valeur critique.<\/p>\n<\/div><\/div><\/div><\/div><\/div>

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<\/i><\/div>

Une fonction qui pr\u00e9sente des \u00ab sauts \u00bb est discontinue<\/b>. <\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/section>

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Intuitivement, une fonction discontinue<\/em> est une fonction dont on ne peut tracer le graphique sans \u00ab lever le crayon du papier \u00bb.<\/p>\n

Dans le graphique ci-contre, vous retrouverez une fonction affine par parties pr\u00e9sentant des \u00ab sauts \u00bb.<\/p>\n<\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/section>

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