Answer:
- [tex]\frac{1}{2}[/tex]
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 ] = [ - 8, 2 ] , thus
f(b) = f(2) = - 4 ← read from graph
f(a) = f(- 8) = 1 ← read from graph, thus
average rate of change = [tex]\frac{-4-1}{2-(-8)}[/tex] = [tex]\frac{-5}{10}[/tex] = - [tex]\frac{1}{2}[/tex]
