Question

What is the average rate of change of the function f(x) = 2x^2 + 4 over the interval (-4,-1] ?

Answer 1

The average rate of change is:

`(f(-1)-f(-4))/(-1+4)=(f(-1)-f(-4))/(3)`
`f(-1)=2(-1^2)+4=6`
`f(-4)=2(-4^2)+4=2(16)+4=36`

then computing the first formula, the average rate of change of f(x) is

`(6-36)/(3)=-10`