AP® Calculus AB-BC

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Moderate

Calculating Values Guaranteed by Mean Value Theorem

APCALC-X1QLQH

What value of $x=c$ is guaranteed by the Mean Value Theorem for the function $y={ x }^{ 3 }- { x }^{ 2 }-2x+1$ on the closed interval $[-1,4]$?

A

$x=-0.548$ and $x=1.235$

B

$x=-1.522$ and $x=2.189$

C

$x=-1.522$

D

$x=2.189$