AP Calculus ABhardmcq1 pt

Suppose f(x)>0f''(x)>0 on (,1)(-\infty,-1), f(x)<0f''(x)<0 on (1,2)(-1,2), and f(x)>0f''(x)>0 on (2,)(2,\infty). How many points of inflection does ff have?

A.00
B.11
C.33
D.22

Explanation

Core Concept

A point of inflection occurs wherever ff'' changes sign. ff'' changes sign at x=1x=-1 and at x=2x=2, so ff has exactly two points of inflection.

Correct Answer

D22

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