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# Mean Value Theorem: Finding $c$ for a Polynomial Function

APCALC-GNNR7U

Which of the following values of $c$ satisfies the conclusion of the Mean Value Theorem for the function $f\left( x \right) =3{ x }^{ 2 }-2x+4$ on the closed interval $[0,2]$?

A

$0$

B

$\cfrac { 1 }{ 3 }$

C

$1$

D

$4$