The Function $f ( x ) = \left\{ \begin{array} { c c } x & \text { if } x < 0 \\2 - x & \text { if } x > 0\end{array} \right\}$

Multiple Choice

The function $f ( x ) = \left\{ \begin{array} { c c } x & \text { if } x < 0 \\2 - x & \text { if } x > 0\end{array} \right\}$ is Select all that apply.

A) odd
B) even
C) neither even nor odd
D) continuous on $[ - \pi , \pi ]$
E) discontinuous on $[ - \pi , \pi ]$