Question

What is the average rate of change over the interval (-1, 5)​

Answer 1

See Explanation

Explanation:

The question is incomplete as the function is not given. However, the following explanation will guide you.

The average rate of change is calculated using;

`A = (f(b) - f(a))/(b - a)`

Where

`(a,b) = (-1,5)`

Take for instance;

The function is:

`f(x) = 2x`

We have to solve for f(-1) and f(5);

i.e.

`f(-1) = 2 * -1 -2`

`f(5) = 2 * 5 = 10`

Substitute -1 for a and 5 for b

`A = (f(b) - f(a))/(b - a)`

`A = (f(5) - f(-1))/(5 - (-1))`

`A = (f(5) - f(-1))/(5 +1))`

`A = (f(5) - f(-1))/(6)`

Substitute values for f(5) and f(-1)

`A = (10 - (-2))/(6)`

`A = (10 +2)/(6)`

`A = (12)/(6)`

`A = 2`

Apply this steps in your work