Question

PLEASE HELP WILL FOLLOW BACK AND RATE Use the table below of the function f(x) = x4 − 4x to answer this question:

x
f(x)
−2 24
−1 5
0 0
1 −3
2 8


What is the average rate of change from x = 0 to x = 2?

0
2
4
8

Answer 1

the average rate of change is 4

Answer 2

4

Explanation:

The average rate of change of any function f(x)within a interval [a,b] is given by the formula.

Avg rate of change=
`(f(b)-f(a))/(b-a)`

In our problem , the limits are 0 and 2 , that means ,

b=2

a=0

Also we are given values of function at 2 and 0.

f(2)=8

f(0)=0

Let us put these values in our formula

Avg rate of change=
`(8-0)/(2-0)`

Avg rate of change=
`(8)/(2)`

Avg rate of change=
`4`

Answer = 4