Determine Whether Rolle's Theorem Can Be Applied To $f ( x ) = \frac { x ^ { 2 } - 13 } { x } \text { on the closed }$

Multiple Choice

Determine whether Rolle's Theorem can be applied to $f ( x ) = \frac { x ^ { 2 } - 13 } { x } \text { on the closed }$ interval $[ - 13,13 ]$ . If Rolle's Theorem can be applied, find all values of $c$ in the open interval $( - 13,13 )$ such that $f ^ {t } ( c ) = 0$

A) $c = 8$
B) $c = 12 , c = 11$
C) $c = 11 , c = 8$
D) $c = 12$
E) Rolle's Theorem does not apply