Given data:
The given graph.
The limits of x are - 5≤ x ≤3.
The expression for average rate of change is,
[tex]\begin{gathered} r=\frac{f(3)-f(-5)}{3-(-5)} \\ =\frac{f(3)-f(-5)}{8} \end{gathered}[/tex]Substitute the given values in the above expression.
[tex]\begin{gathered} r=\frac{12-(-4)}{8} \\ =\frac{16}{8} \\ =2 \end{gathered}[/tex]Thus, the average rate of change is 2.