If ,f(x)=x^3-x what is the average rate of change of f(x) over the interval [1, 5]?

a. 29.5
b. 30
c. 43
d. 120

Option b is correct

30 is the average rate of change of f(x) over the interval [1, 5]

Step-by-step explanation:

Average rate of change (A(x)) of f(x) over interval [a, b] is given by:

        ....[1]

As per the statement:

Given the function:

We have to find the  average rate of change of f(x) over the interval [1, 5].

At x = 1

then;

At x= 5

then;

Substitute these given values in [1] we have;

⇒

⇒

Therefore, the average rate of change of f(x) over the interval [1, 5] is, 30