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AP® Calculus AB-BC

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Moderate

Analyze Functions with Mean Value Theorem to Find Tangents

APCALC-OYKRHL

Given the function, what is the best statement for the equation $y={ x }^{ 3 }- { x }^{ 2 }-2x$?

A

The Mean Value Theorem guarantees a maximum on the interval $[-1,2]$.

B

The Mean Value Theorem guarantees at least one horizontal tangent on the interval $[-1,2]$.

C

The Mean Value Theorem guarantees exactly one horizontal tangent on the interval $[-1,2]$.

D

The Mean Value Theorem guarantees exactly two horizontal tangents on the interval $[-1,2]$.