Answer:
C
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 ] = [ 1, 3 ]
f(b) = f(3) = - 8 ← from graph point (3, - 8 )
f(a) = f(1) = 0 ← from graph point (1, 0 )
Then
average rate of change = [tex]\frac{-8-0}{3-1}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4 → C
