Find a Formula for the Function Graphed B) C) D)

Multiple Choice

Find a formula for the function graphed.
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A) $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \\ 5 , & - 2 < x < 3 \\ 6 - x , & 3 \leq x \leq 8 \end{array} \right.$

B) $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \\ 5 , & - 2 < x \leq 3 \\ 6 - x , & 3 < x \leq 8 \end{array} \right.$

C) $f ( x ) = \left\{ \begin{array} { l r } - \frac { 1 } { 2 } x + 1 , & - 8 \leq x \leq - 2 \\ 5 , & - 2 < x \leq 3 \\ x - 6 , & 3 < x \leq 8 \end{array} \right.$

D) $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x + 1 , & - 8 < x \leq - 2 \\ 5 , & - 2 < x \leq 3 \\ 6 - x , & 3 < x < 8 \end{array} \right.$