Let $f ( x ) = ( x - 4 ) ^ { 2 } - 1$

Multiple Choice

Let $f ( x ) = ( x - 4 ) ^ { 2 } - 1$ on $[ 3,6 ]$ Then the set of all c in (3,6) guaranteed by the Mean Value Theorem is

A) $\{ 4 \}$
B) $\left\{ \frac { 7 } { 2 } \right\}$
C) $\{ 2 \}$
D) $\left\{ \frac { 9 } { 2 } \right\}$
E) $\{ 5 \}$