Find the Rule That Defines Each Piecewise-Defined Function $f ( x ) = \left\{ \begin{array} { l l } - \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.$

Multiple Choice

Find the rule that defines each piecewise-defined function.
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A) $f ( x ) = \left\{ \begin{array} { l l } - \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { l l } - 2 x & \text { if } - 4 \leq x \leq 0 \\ x & \text { if } 0 < x \leq 3 \end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } - \frac { 1 } { 2 } x & \text { if } - 4 \leq x \leq 0 \\ x & \text { if } 0 < x \leq 3 \end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.$