At What Value(s) of X Is the Function

Essay

At what value(s) of x is the function $$f ( x ) = \left\{ \begin{array} { l l } x ^ { 2 } + 4 x + 5 & \text { if } x < - 2 \\\frac { 1 } { 2 } x & \text { if } - 2 \leq x \leq 2 \\1 + \sqrt { x - 2 } & \text { if } x > 2\end{array} \right.$$