Determine Whether the Mean Value Theorem Can Be Applied to the Function

Multiple Choice

Determine whether the Mean Value Theorem can be applied to the function $f ( x ) = x ^ { 2 }$ on the closed interval $[ 3,9 ]$ . If the Mean Value Theorem can be applied, find all numbers $c$ in the open interval $( 3,9 )$ such that $f ^ { t} ( c ) = \frac { f ( 9 ) - f ( 3 ) } { 9 - ( 3 ) }$ .

A) MVT applies; $c = 6$
B) MVT applies; $c = 7$
C) MVT applies; $c = 4$
D) MVT applies; $\mathrm { c } = 5$
E) MVT applies; $c = 8$