Find the average rate of change of the function

f(x) = x² + 9x from x1 = 1 to x2 = 5.

15

Step-by-step explanation:

The function is;

f(x) = x² + 9x

We are to find the average rate of change from point = 1 to point = 5

Average rate of change =  where h is the change in x-axis

When x = 1 , f(x) = 1² + 9(1) = 10

When x = 5, f(x) = 5² + 9(5) = 70

f(x + h) - f(x) = 70 - 10 = 60

h = 5 - 1 = 4

So average rate of change = = 15

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step-by-step explanation: