Question

How do you find the average rate of change for the function `f(x)= x^3 -2x` on the indicated intervals [0, 4]?

Answer 1

I found `14`

Explanation:

The average rate of change can be evaluated as:
`color(red)((f(x_2)-f(x_1))/(x_2-x_1))`
Where:
`x_1=0`
`x_2=4`
`f(x_1)=f(0)=0-0=0`
`f(x_2)=f(4)=4^3-2(4)=56`
So the average rate of change will be:
`(56-0)/(4-0)=56/4=14`