Evaluate the Function at the Specified Value of the Independent

Evaluate the function at the specified value of the independent variable and simplify. $g ( w ) = \left\{ \begin{array} { c } - w , w \leq - 1 \\- w ^ { 2 } + 2 w , - 1 < w \leq 1 \\- w ^ { 3 } + 2 w ^ { 3 } , w > 1\end{array} \right.$ g( $- \frac { 1 } { 2 }$ )

A) g( $- \frac { 1 } { 2 }$ ) = $\frac { 1 } { 2 }$
B) g( $- \frac { 1 } { 2 }$ ) = $\frac { 5 } { 8 }$
C) g( $- \frac { 1 } { 2 }$ ) = $- \frac { 7 } { 4 }$
D) g( $- \frac { 1 } { 2 }$ ) = 5
E) g( $- \frac { 1 } { 2 }$ ) = $- \frac { 5 } { 4 }$

Correct Answer:

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