Find a Formula for the Function Graphed $f ( x ) = \left\{ \begin{array} { l l } 6 - x , & 0 \leq x \leq 3 \\ x , & 3 < x \leq 6 \end{array} \right.$

Multiple Choice

Find a formula for the function graphed.
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A) $f ( x ) = \left\{ \begin{array} { l l } 6 - x , & 0 \leq x \leq 3 \\ x , & 3 < x \leq 6 \end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { l l } x + 6 , & 0 \leq x \leq 3 \\ - x , & 3 < x \leq 6 \end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } x , & 0 \leq x \leq 3 \\ 6 - x , & 3 < x \leq 6 \end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } - x , & 0 \leq x \leq 3 \\ x + 6 , & 3 < x \leq 6 \end{array} \right.$