Answer:
average rate of change = - [tex]\frac{5}{4}[/tex]
Step-by-step explanation:
The average rate of change of f(x) in the interval x = a to x = b is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
here the interval is x = 0 to x = 4 , with a = 0 and b = 4 , then
f(b) = f(4) = 0 ← point (4, 0 ) on graph
f(a) = f(0) = 5 ← point (0, 5 ) on graph
Then
average rate of change = [tex]\frac{0-5}{4-0}[/tex] = [tex]\frac{-5}{4}[/tex] = - [tex]\frac{5}{4}[/tex]