Evaluate the Function at the Specified Value of the Independent

question 24

Multiple Choice

Evaluate the function at the specified value of the independent variable and simplify. $g ( w ) = \left\{ \begin{array} { l l } 2 w , & w \leq - 1 \\2 w ^ { 2 } + 2 w , & - 1 \leq w \leq 1 \\2 w ^ { 3 } + 2 w ^ { 2 } , & w > 1\end{array} \right.$
$g \left( \frac { 1 } { 4 } \right)$

• A) \(\frac { 1 } { 5 }\)
• B) \(\frac { 1 } { 2 }\)
• C) \(\frac { 5 } { 32 }\)
• D) \(\frac { 1 } { 16 }\)
• E) \(\frac { 5 } { 8 }\)

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