Answer
$-1$
Work Step by Step
The average rate of change from $x_1=-4$ to $x_2=4$ can be found by dividing the change in the value of $y$ ($y_2-y_1$) by the change in the value of $x$ ($x_2-x_1$).
Thus, the average rate of change from $x_1=-4$ to $x_2=4$ is:
$=\dfrac{-5-3}{4-(-4)}
\\=\dfrac{-8}{4+4}
\\=\dfrac{-8}{8}
\\=-1$
Thus, the average rate of change of $f$ from $x_1=-4$ to $x_2=4$ is $-1$.
