Question

Let f(x)=−1/4(x+4)^2−8 . What is the average rate of change for the quadratic function from x=−2 to x = 2? Enter your answer in the box.

Answer 1

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

-2

If you didnt get that, It's -2.

Answer 2

Average rate of change of function is -2.

Explanation:

Given
`f(x)=(-1)/(4)(x+4)^2-8`.

we have to find the average rate of change for the quadratic function from x=−2 to x = 2.

`f(-2)=(-1)/(4)(-2+4)^2-8=(-1)/(4)(4)-8=-9`

`f(2)=(-1)/(4)(2+4)^2-8=(-1)/(4)(36)-8=-17`

The average rate of change of the function f(x) on interval [-2,2] is

`(f(b)-f(a))/(b-a)=(f(2)-f(-2))/(2-(-2))=(-17-(-9))/(4)=(-8)/(4)=-2`