Evaluate the function $$f ( x ) = \left\{ \begin{array} { c } 4 x - 2 , x 1 \end{array} \right.$$ 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) $f \left( - \frac { 1 } { 2 } \right) = 7$

Question

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

Quizplus · Accepted Answer

Since $-\frac{1}{2}$ falls within the range $-1 \leq x \leq 1$, the value of the function $f\left(-\frac{1}{2}\right) = 7$.

Evaluate the Function f(x)={4x−2,x<−17,−1≤x≤1x2,x>1f ( x ) = \left\{ \begin{array} { c } 4 x - 2 , x < - 1 \\7 , \quad - 1 \leq x \leq 1 \\x ^ { 2 } , x > 1\end{array} \right.f(x)=⎩⎨⎧​4x−2,x<−17,−1≤x≤1x2,x>1​

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