The Graph of a Piecewise-Defined Function Is Given $f ( x ) = \left\{ \begin{array} { l l } - \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.$

question 112

Multiple Choice

The graph of a piecewise-defined function is given. Write a definition for the 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) \(f ( x ) = \left\{ \begin{array} { l l } - \frac { 1 } { 2 } x & \text { if } - 4 \leq x \leq 0 \\ x & \text { if } 0 < x \leq 3 \end{array} \right.\)
• C) \[f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \\ x & \text { if } 0 < x < 3 \end{array} \right.\]
• D) \[f ( x ) = \left\{ \begin{array} { l l } - 2 x & \text { if } - 4 \leq x \leq 0 \\ x & \text { if } 0 < x \leq 3 \end{array} \right.\]

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