Question

Find the average rate

Answer 1

5

Explanation:

To find the average rate of change of the function between two points
`x_1, x_2`, we can use the following formula:

`m=(f(x_2)-f(x_1))/(x_2-x_1)`

The function in this problem is

`f(x)=x^2-2x+9`

At
`x_1 = 1`, we have

`f(x_1)=f(1)=1^2-2(1)+9=8`

At
`x_2 = 6`, we have

`f(x_2) = f(6) = 6^2-2(6)+9=33`

So now we can apply the first formulat to find the average rate of change of the function between the two points:

`m=(33-8)/(6-1)=(25)/(5)=5`