Question

Order the intervals based on the average rates of change of the function below over theintervals. Place the interval corresponding to the greatest average rate of change on top.f(x) = x2[0, 8][2, 7][4, 6]

Answer 1

for a function f defined on an interval, the average rate of change is

[0,8]

`AV=(8^2-0^2)/(8-0)=(64)/(8)=8`

[2,7]

`AV=(7^2-2^2)/(7-2)=(49-4)/(5)=(45)/(5)=9`

[4,6]

`AV=(6^2-4^2)/(6-4)=(36-16)/(2)=(20)/(2)=10`

order interval:

[4,6] [2,7] and [0,8]