Let on the closed interval

MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let f(x)=x3−3x2+kf(x)=x^{3}-3x^{2}+k on the closed interval [0,2][0,2]. The function is strictly increasing on [0,2][0,2] if (a) k>3k>3 (b) k=3k=3 (c) No real value of kk makes ff strictly increasing on [0,2][0,2] (d) k<3k<3

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