Question

1

Answer 1

The average rate of change of f(x) on the interval [5, 5 + h] is 1

How to find the average rate of change of f(x) on the interval [5, 5 + h]?

The equation of the function is given as:

f(x) = x + 11

The interval is given as: [5, 5 + h]

So, we start by calculating f(5) and f(5 + h)

This gives

f(5) = 5 + 11 = 16

f(5 + h) = 5 + h + 11 = h + 16

The average rate of change of f(x) on the interval [5, 5 + h] is then calculated as:

Rate = [f(5 + h) - f(5)]/[5 + h - 5]

Substitute the known values in the above equation

Rate = (h + 16 - 16)/(5 + h - 5)

Evaluate the sum and the difference

Rate = h/h

This gives

Rate = 1

Hence, the average rate of change of f(x) on the interval [5, 5 + h] is 1

Read more about the average rate of change at

brainly.com/question/8728504

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