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AP® Calculus AB-BC

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Moderate

Given a Graph, Determine Whether Statements Are True or False

APCALC-5NGEJJ

Consider the graph of $f(x)$ shown below. Which of the following are TRUE?

I. $f’(0)$ exists
II. $\lim \limits_{x \to 0^-} f(x)= \lim \limits_{x \to 0^+} f(x)$
III. $f’(x) \gt 0$ for $-3 \lt x \lt 0$

A

I only

B

II only

C

III only

D

II and III