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?

$\text{I. } f\left( x \right) =\cfrac { 1 }{ { x }^{ 2 }-1 } \quad \text{ on the interval } [-2,2]$

$\text{II. } g\left( x \right) ={ x }^{ \frac{2}{3} } \quad \text{on the interval }[1,4]$

$\text{III. }h\left( x \right) ={ 2x }^{ 3 }+{ x }^{ 2 }-3 \quad \text{on the interval } [-3,1]$