Evaluate the Function $$f ( x ) = \left\{ \begin{array} { c } 4 x - 2 , x < - 1 \\7 , \quad - 1 \leq x \leq 1 \\x ^ { 2 } , x > 1\end{array} \right.$$

question 40

Multiple Choice

Evaluate the function $$f ( x ) = \left\{ \begin{array} { c } 4 x - 2 , x < - 1 \\7 , \quad - 1 \leq x \leq 1 \\x ^ { 2 } , x > 1\end{array} \right.$$ at $f \left( - \frac { 1 } { 2 } \right)$ . ?

• A) \[f \left( - \frac { 1 } { 2 } \right) = - 10\]
• B) \(f \left( - \frac { 1 } { 2 } \right) = 10\)
• C) \(f \left( - \frac { 1 } { 2 } \right) = - 7\)
• D) \[f \left( - \frac { 1 } { 2 } \right) = - 4\]
• E) \(f \left( - \frac { 1 } { 2 } \right) = 7\)

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Definitions:

Momentary Contact

Momentary contact describes a switch mechanism that establishes a connection only when actuated and breaks the connection once the actuator is released, ensuring brief electrical contact.

Jog Circuit

A control circuit designed to momentarily energize a motor or device to adjust its position without engaging full operation.

Control Circuit

A low-power circuit used to control the operation of a main circuit or device, often involving relays, switches, and sensors.

Eleven-Pin

Refers to a type of connector or relay base with eleven pins used for electrical or electronic connections.