Question

What is the average rate of change for this quadratic function for the interval from x = 2 to x = 4? O A. -12 B. 12 C. -6 O D. 6​

Answer 1

6

Explanation:

because i am in credit recovery and i had a test on it

Answer 2

D. 6.

We have been given graph of a function. We are asked to find the average rate of change of our given function for the interval from
`x=-4` to
`x=-2`.

We will use formula
`Average`
`rate`
`of`
`change`
`=(f(b)-f(a))/(b-a)` to solve our given problem.

`Average`
`rate`
`of`
`change`
`=(f(-2)-f(-4))/(-2--4)`

`Average`
`rate`
`of`
`change`
`=(6--6)/(-2+4)`

`Average`
`rate`
`of`
`change`
`=(6+6)/(2)`

`Average`
`rate`
`of`
`change`
`=(12)/(2)`

`Average`
`rate`
`of`
`change`
`=6`

Therefore, the average rate of change for our given function on given interval would be 6 and option B is the correct choice.