For the function f(x) = x23, the average rate of change to the nearest hundredth over the interval 2 d x d 4 is

Given:

Consider the function is:

To find:

The average rate of change over the interval 2 ≤ x ≤ 4.

Solution:

We have,

At ,

At ,

The average rate of change of a function f(x) over the interval [a,b] is:

So, the average rate of change over the interval 2 ≤ x ≤ 4 is:

On further simplification, we get

Therefore, the average rate of change over the interval 2 ≤ x ≤ 4 is 2.

529 and 531

step-by-step explanation: