AP® Calculus AB-BC

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Moderate

Mean Value Theorem: Testing Conditions on Functions

APCALC-BNX1FN

For which of the following functions does the Mean Value Theorem apply on the given interval?

I. $ f\left( x \right) =\cfrac { 1 }{ { x }^{ 2 }-1 } \quad \text{ on the interval } [-2,2]$
II. $ g\left( x \right) ={ x }^{ \frac{2}{3} } \quad \text{on the interval }[1,4]$
III. $h\left( x \right) ={ 2x }^{ 3 }+{ x }^{ 2 }-3 \quad \text{on the interval } [-3,1]$

A

I only.

B

III only.

C

I and II only.

D

II and III only.