F(x) = 3x – 5. Find the average rate of change of the function between x = 3 and x = 7.

Given:

The function is:

To find:

The average rate of change of the function between x = 3 and x = 7.

Solution:

We have,

For ,

For ,

The average rate of change of the function f(x) between x = a and x = b is:

The average rate of change of the function between x = 3 and x = 7 is:

Therefore, the average rate of change of the function between x = 3 and x = 7 is 3.