Answer:
average rate of change = 4
Step-by-step explanation:
the average rate of change of f(x) in the closed interval [a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here [ a, b ] = [ - 10, - 8 ] , then
f(b) = f(- 8) = 8 ← point on graph (- 8, 8 )
f(a) = f(- 10) = 0 ← point on the graph (- 10, 0 )
average rate of change = [tex]\frac{8-0}{-8-(-10)}[/tex] = [tex]\frac{8}{-8+10}[/tex] = [tex]\frac{8}{2}[/tex] = 4
