CPM Homework Help : PC3 Problem 8-119

State the intervals where each of the following functions is increasing, decreasing, concave up, and concave down.

$j ( x ) = \left\{ \begin{array} { c c c } { 2 + 3 x ^ { 2 } } & { \text { if } } & { x \leq 0 } \\ { 2 - x ^ { 2 } } & { \text { if } } & { x > 0 } \end{array} \right.$
Hint (b):
Sketch a graph of the function.