A twice-differentiable function is defined on

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

Problem

A twice-differentiable function ff is defined on [−2,6][-2,6]. • f′>0f' > 0 on (−2,1)(-2,1) • f′=0f'=0 at x=1x=1 • f′<0f' < 0 on (1,4)(1,4) • f′=0f'=0 at x=4x=4 • f′>0f' > 0 on (4,6)(4,6) In addition, f(−2)=5f(-2)=5, f(4)=2f(4)=2, and f(6)=7f(6)=7. At which xx-value does ff attain its absolute minimum on [−2,6][-2,6]? (a) x=1x=1 (b) x=−2x=-2 (c) x=4x=4 (d) x=6x=6

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