Write $f ( x ) = \left| 4 - x ^ { 2 } \right|$

Multiple Choice

Write $f ( x ) = \left| 4 - x ^ { 2 } \right|$ as a piecewise function.

A) $f ( x ) = \left\{ \begin{array} { l } 4 + x ^ { 2 } - 2 \leq x \leq 2 \\4 - x ^ { 2 } \text { otherwise }\end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { c c } - 4 + x ^ { 2 } & - 2 \leq x \leq 2 \\4 - x ^ { 2 } & \text { otherwise }\end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { c c } 4 + x ^ { 2 } & - 2 \leq x \leq 2 \\- 4 + x ^ { 2 } & \text { otherwise }\end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { c c } 4 - x ^ { 2 } & - 2 \leq x \leq 2 \\- 4 + x ^ { 2 } & \text { otherwise }\end{array} \right.$