Write $f ( x ) = 5 + | 3 x - 2 |$

Multiple Choice

Write $f ( x ) = 5 + | 3 x - 2 |$ as a piecewise function.

A) $f ( x ) = \left\{ \begin{array} { c c } - 3 + 3 x & x < 2 / 3 \\3 - 3 x & x \geq 3 / 2\end{array} \right.$
B) $f ( x ) = \left\{ \begin{array} { c c } - 3 - 3 x & x < 2 / 3 \\3 + 3 x & x \geq 2 / 3\end{array} \right.$
C) $f ( x ) = \left\{ \begin{array} { l l } 7 - 3 x & x < 2 / 3 \\3 + 3 x & x \geq 2 / 3\end{array} \right.$
D) $f ( x ) = \left\{ \begin{array} { l l } 7 + 3 x & x < 2 / 3 \\3 - 3 x & x \geq 2 / 3\end{array} \right.$