The Graph of a Piecewise-Defined Function Is Given B) C) $f(x)=\left\{\begin{array}{ll}\frac{3}{4} x+4 & \text { if }-3 \leq x \leq 0 \\\frac{3}{2} x & \text { if } x \geq 0\end{array}\right.$

Multiple Choice

The graph of a piecewise-defined function is given. Write a definition for the function.
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A)
$f ( x ) = \left\{ \begin{array} { l l } \frac { 3 } { 4 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 3 } { 2 } x & \text { if } x > 0 \end{array} \right.$
B)
$f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\ \frac { 2 } { 3 } x & \text { if } x > 0 \end{array} \right.$
C)
$f(x) =\left\{\begin{array}{ll}\frac{3}{4} x+4 & \text { if }-3 \leq x \leq 0 \\\frac{3}{2} x & \text { if } x \geq 0\end{array}\right.$

D)
$f ( x ) = \left\{ \begin{array} { l l } \frac { 4 } { 3 } x + 4 & \text { if } - 3 \leq x \leq 0 \\\frac { 2 } { 3 } x & \text { if } 0 < x \leq 3\end{array} \right.$