Find the Numbers at Which F Is Continuous $$f ( x ) = \left\{ \begin{aligned}7 x & \text { if } x < 6 \\41 & \text { if } x = 6 \\x ^ { 2 } + 6 & \text { if } x > 6\end{aligned} \right.$$

Multiple Choice

Find the numbers at which f is continuous. At which numbers is f discontinuous?
- $$f ( x ) = \left\{ \begin{aligned}7 x & \text { if } x < 6 \\41 & \text { if } x = 6 \\x ^ { 2 } + 6 & \text { if } x > 6\end{aligned} \right.$$

A) continuous for all real numbers
B) continuous for all real numbers except $x = 7 , x = 6$
C) continuous for all real numbers except $x = 6$
D) continuous for all real numbers except $x = 0 , x = 6$