Evaluate the Function at the Specified Value of the Independent

question 49

Multiple Choice

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( \(- \frac { 1 } { 2 }\) )= \(- \frac { 5 } { 4 }\)

---

Definitions:

Stabilize

To make steady; firmly fixed; constant.

Plantar Flexion

The movement of pointing the foot or toes downward, away from the body, commonly used in activities like walking or pressing a pedal.

Automobile Pedal

A lever operated with the foot in a vehicle, used for controlling its functions such as acceleration, braking, or clutch engagement.

Supination

The rotation of the forearm or foot so that the palm or sole is turned upwards or forwards.