Answer:
Average rate of change = 30
Step-by-step explanation:
We have given a function.
f(x) = x³-x
[a,b] = [1,5]
We have to calculate the average rate of change of f(x) over the given interval.
The formula to calculate the average rate of change of function is :
Average rate of change = f(b) - f(a) / (b-a)
f(b) = f(5) = (5)³-5
f(b) = f(5) = 125-5
f(b) = f(5) = 120
f(a) = f(1) = (1)³-1
f(a) = f(1) = 1-1
f(a) = f(1) = 0
Putting values in formula, we have
Average rate of change = 120-0 / 5-1
Average rate of change = 120/4
Average rate of change = 30 which is the answer.
