What is the average rate of change of the function f (x) =

x2 + 4 for 1 Sx <5?

Solve the equation for 1 and 5:

1^2 + 4 = 1+4 = 5

5^2 + 4 = 25 + 4 = 29

Find the difference:

29 - 5 = 24

Find the difference of the X values: 5-1 = 4

Rate of change is the change in Y over the change in X:

The rate of change would be: 24/4 = 6