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 91

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) \(f \left( - \frac { 1 } { 2 } \right) = 7\)

---

Definitions:

Sadness

Sadness is an emotional state characterized by feelings of unhappiness, sorrow, or disappointment, often triggered by adverse events or situations.

Fear

An emotional response to perceived dangers or threats, leading to physiological and behavioral changes aimed at avoiding those threats.

Basic Emotions

Fundamental emotions that are universally recognized and experienced by humans, such as happiness, sadness, fear, disgust, surprise, and anger.

Facial Expressions

Visible changes in the face that convey an individual's emotional state or reactions to various situations.