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AP® Calculus AB-BC

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Graphical Interpretation: Theorems of Calculus

APCALC-PC8BWK

Lockhart. Created for Albert.io. Copyright 2016. All rights reserved.

Given the graph of $f(x)$ above (going through the listed points), which of the following statements must be TRUE for some $c$ on the interval $[-2, 0]$?

Statement I: $f(c)=2$.
Statement II: $f'(c)=-1.5$.
Statement III: $f'(c)$ is a relative extrema.

A

I only.

B

I and II only.

C

I and III only.

D

I, II, and III.