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AP® Calculus AB-BC

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Moderate

Mean Value Theorem to Find Equation of Line

APCALC-C3SKJR

Suppose you have the function $f(x)={ x }^{ 5 }+{ x }^{ 3 }+x-3$ and a line $L(x)$ that intersects $f(x)$ when $x=1$.

What is the equation of $L(x)$ that satisfies the Mean Value Theorem for $f(x)$ on the interval $[-1,2]$?

A

$L(x)=9x-9$

B

$L(x)=15x-15$

C

$L(x)=15x+21$

D

$L(x)=15x-69$