Question

evaluate the function for the given value.
$f(x) = \

$$\begin{cases} 5x - 1, & \\text{if } x < -2 \\\\ x - 9, & \\text{if } x \\geq -2 \\end{cases}$$

$

1. $f(-4)$

Explanation:

Step1: Identify relevant function piece

Since $-4 < -2$, use $f(x)=5x-1$.

Step2: Substitute $x=-4$ into the function

$f(-4)=5(-4)-1$

Step3: Calculate the result

$f(-4)=-20-1=-21$

Answer:

$-21$