If $f ( x ) = \left\{ \begin{array} { c l }
2 x - 5 & x

Name: If $f ( x ) = \left\{ \begin{array} { c l } 2 x - 5 & x < - 4 \\ \frac { x } { 2 } & x \geq - 4 \end{array} \right.$ , then $f ( - 4 )$ is A) $- 13$ B)-8 C)-2 D)3 E)8
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Question

If $f ( x ) = \left\{ \begin{array} { c l } 
2 x - 5 & x < - 4 \
\frac { x } { 2 } & x \geq - 4
\end{array} \right.$ , then $f ( - 4 )$ is

A) $- 13$
B)-8
C)-2
D)3
E)8

Quizplus · Accepted Answer

For $x = -4$, the function $f(x)$ falls into the second piece, $\frac{x}{2}$, because $x \geq -4$. Substituting $-4$ into this piece gives $\frac{-4}{2} = -2$.

If f(x)={2x−5x<−4x2x≥−4f ( x ) = \left\{ \begin{array} { c l } 2 x - 5 & x < - 4 \\\frac { x } { 2 } & x \geq - 4\end{array} \right.f(x)={2x−52x​​x<−4x≥−4​

If $f ( x ) = \left\{ \begin{array} { c l } 2 x - 5 & x < - 4 \\\frac { x } { 2 } & x \geq - 4\end{array} \right.$