determine the average rate of change of the function between the given variables h (x) = x; x=a, x=a+h

the average rate of change is 4.

Step-by-step explanation:

Find the average rate of change of f (x) = x^2 on the interval [1,3].

The average rate of change of f (x) on the interval [a, b] is f (b) - f (a) / b-a.

We have that a=1, b=3, f (x) = x^2.

Thus, f (b) - f (a) / b-a = ((3)) ^2 - (((1)) ^2) / 3 - (1) = 4.