the average rate of change from x = -2 to x = 6 for the function shown in the graph is \ndone

Answer:

$-\frac{1}{2}$

Explanation:

Step1: Recall average rate - of - change formula

The average rate of change of a function $y = f(x)$ from $x = a$ to $x = b$ is $\frac{f(b)-f(a)}{b - a}$.

Step2: Identify values of $a$, $b$, $f(a)$ and $f(b)$

Here, $a=-2$, $b = 6$, $f(-2)=7$ (from point $B(-2,7)$) and $f(6)=3$ (from point $A(6,3)$).

Step3: Substitute values into formula

$\frac{f(6)-f(-2)}{6-(-2)}=\frac{3 - 7}{6 + 2}=\frac{-4}{8}=-\frac{1}{2}$.