Question

What is the rate of change for the interval between 2 and 6 on the x-axis

Answer 1

I think it's 3
Its basically finding the slope

Answer 2

3

Explanation:

Given is a parabola open up and many points marked on the curve.

We are asked to find the rte of change for the interval between 2 and 6 on the x axis.

We have from definition rate of change of any function f(x) from a to b is

Rate of change =
`(f(b)-f(a))/(b-a)`

Here a =2 and b =6

The values of f for these points can be got from the graph.

f(6) =14 and f(2) = 2

f(6)-f(2) =14-2 =12

b-a=6-2=4

Hence rate of change =
`(12)/(4) =3`

Answer is 3