Calculate the average rate of change of the function y= ½x² - 1 over the interval -2 ≤ x ≤ 0

The average rate of change of the function in that interval is r = -1

Step-by-step explanation:

When we have a function f(x), the average rate of change in an interval:

a ≤ x ≤ b

Is calculated as:

In this case, the function is:

y = f(x) = (1/2)*x^2 - 1

And the interval is:

-2 ≤ x ≤ 0

Then the rate of change will be:

The average rate of change of that function in that interval is r = -1

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