Describe the Interval $($ S $)$ On Which the Function $f ( x ) = \frac { x - 4 } { x ^ { 2 } - 16 }$

Multiple Choice

Describe the interval $($ s $)$ on which the function $f ( x ) = \frac { x - 4 } { x ^ { 2 } - 16 }$ is continuous.

A) $( - \infty , - 4 ] , ( - 4,4 ] \& ( 4 , \infty )$
B) $( - \infty , 4 ) , ( 4,4 ) \& ( 4 , \infty )$
C) $( - \infty , - 4 ) , ( - 4,4 ) \& ( 4 , \infty )$
D) $( - \infty , - 4 ] , ( - 4,4 ) \& ( 4 , \infty )$
E) $( - \infty , - 4 ] , [ - 4,4 ] \& [ 4 , \infty )$