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Mathematics, 27.04.2020 01:30 tnassan5715

Le but de l’exercice est de déterminer le sens de variation de la fonction f:x (x−3)²+1 définie sur IR.
1. Tracer la courbe représentative de la fonction f à l’aide de la calculatrice et observer les variations de f.
2. Étude :
a. Soient a(b−3)².
b. En déduire que f(a)>f(b) et que f est strictement décroissante sur ]−∞;3].
c. Soit 3⩽a d. Dresser le tableau de variations de f.

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