Question

<

Answer 1

For the first interval (-1, 2), f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.

Over which interval the rate of change is zero?

For a function f(x) we define the average rate of change over the interval (a, b) is defined as:

R = (f(b) - f(a))/(b - a)

Here the function is:

f(x) = x^2 - x  -1

And the rate of change will be zero on an interval (a, b) if and only if:

f(b) = f(a).

Notice that the first interval is (-1, 2)

f(-1) = (-1)^2 - (-1) - 1 = 1 + 1 - 1 = 1

f(2) = 2^2 - 2 - 1 = 4 - 2 - 1  =1

Then f(-1) = f(2), which means that the average rate of change on that interval is zero, so the correct option is A.

If you want to learn more about average rate of change:

brainly.com/question/23483858

#SPJ1