The Graph of a Piecewise-Defined Function Is Given $f ( x ) = \left\{ \begin{array} { l l } x + 1 & \text { if } 0 \leq x \leq 3 \\ \frac { 1 } { 2 } x & \text { if } 3 < x \leq 5 \end{array} \right.$

The graph of a piecewise-defined function is given. Write a definition for the function.
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A)
$f ( x ) = \left\{ \begin{array} { l l } x + 1 & \text { if } 0 \leq x \leq 3 \\ \frac { 1 } { 2 } x & \text { if } 3 < x \leq 5 \end{array} \right.$
B)
$f ( x ) = \left\{ \begin{array} { l l } x + 1 & \text { if } 0 \leq x \leq 3 \\ \frac { 1 } { 2 } x + \frac { 1 } { 2 } & \text { if } 3 < x \leq 5 \end{array} \right.$
C)
$f ( x ) = \left\{ \begin{array} { l l } x + 1 & \text { if } 0 \leq x \leq 3 \\ \frac { 1 } { 2 } x + 2 & \text { if } 3 < x \leq 5 \end{array} \right.$
D)
$f ( x ) = \left\{ \begin{array} { l l } x + 1 & \text { if } 0 \leq x \leq 3 \\ \frac { 1 } { 2 } x - \frac { 1 } { 2 } & \text { if } 3 < x \leq 5 \end{array} \right.$