Question

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 0 ≤ x ≤ 8?

Answer 1

The average rate of change is 0

Explanation:

Given

See attachment for graph

Required

The average rate function for
`0 \le x \le 8`

The average rate function (m) is calculated as:

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

for
`a \le x \le b`

So, we have:

`a =0`

`b = 8`

This gives:

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

`m = (f(8) - f(0))/(8 - 0))`

`m = (f(8) - f(0))/(8)`

From the attached plot;

`f(8) =0`

`f(0) = 0`

So, we have:

`m = (f(8) - f(0))/(8)`

`m = (0)/(8)`

`m = 0`