AP® Calculus AB-BC

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Graph of a Minimum

APCALC-GKJIRO

Let $f(x)$ be a continuous function on the interval $( -10, 10 ) .$

If $f(x)$ has a relative maximum at $( 2, \, f( 2 ) )$, which of the following statements must be true?

I. $f(0) < f(4)$
II. $f’’(2) < 0$
III. $x=2$ is in the domain of $f(x)$.

A

I and II only.

B

II and III only.

C

III only.

D

I, II, and III.