Find All Points of Discontinuity of the Function $$h ( x ) = \left\{ \begin{aligned}4 - x & \text { if } x < 4 \\3 & \text { if } x = 4 \\x + 1 & \text { if } x > 4\end{aligned} \right.$$

Multiple Choice

Find all points of discontinuity of the function. $$h ( x ) = \left\{ \begin{aligned}4 - x & \text { if } x < 4 \\3 & \text { if } x = 4 \\x + 1 & \text { if } x > 4\end{aligned} \right.$$

A) $x = 0 , x = 4$
B) $x = 0 , x = 4 , x = 8$
C) $x = 4$
D) $x = 0$
E) The function is continuous everywhere.