Question

What is the average rate of change for ƒ(x) = −3x + 1 over the interval −2 ≤ x ≤ −1?

Answer 1

-2/9 is the correct answer.

Explanation:

Answer 2

The average rate of change is -3

Explanation:

we have

`f(x)=-3x+1`

This is a linear function in slope intercept form
`f(x)=mx+b`

where

m is the slope

b is the y-intercept

In this problem

The slope is equal to

`m=-3`

Remember that

In a linear function the average rate of chance is a constant and is equal to the slope of the linear function in any interval

therefore

The average rate of change is -3