Find All Points Where the Function Is Discontinuous $\lim f ( x )$

True/False

Find all points where the function is discontinuous.
-Does $\lim f ( x )$ exist?
$$f ( x ) = \left\{ \begin{array} { l l } - x ^ { 2 } + 1 , & - 1 \leq x < 0 \\2 x , & 0 < x < 1 \\- 4 , & x = 1 \\- 2 x + 4 & 1 < x < 3 \\5 , & 3 < x < 5\end{array} \right.$$