Determine Whether or Not the Function $f ( x ) = e ^ { x } \left( x ^ { 2 } - 3 x \right)$

True/False

Determine whether or not the function $f ( x ) = e ^ { x } \left( x ^ { 2 } - 3 x \right)$ satisfies the hypothesis of Rolle's Theorem on the interval [0, 3]. If it does, find the exact values of all $c \in ( 0,3 )$ that satisfy the conclusion of Rolle's Theorem.