Find the Numbers at Which F Is Continuous $$f ( x ) = \left\{ \begin{array} { r r } \frac { x ^ { 2 } - 16 } { x - 4 } & \text { if } x \neq 4 \\8 & \text { if } x = 4\end{array} \right.$$

Multiple Choice

Find the numbers at which f is continuous. At which numbers is f discontinuous?
- $$f ( x ) = \left\{ \begin{array} { r r } \frac { x ^ { 2 } - 16 } { x - 4 } & \text { if } x \neq 4 \\8 & \text { if } x = 4\end{array} \right.$$

A) continuous for all real numbers except $x = 2$
B) continuous for all real numbers except $x = 2 , x = 4$
C) continuous for all real numbers
D) continuous for all real numbers except $x = 4$