Question

How do you find the average rate of change of `F(x)=3+x^3` from 0 to 2?

Answer 1

`4`

Explanation:

The average rate of change of a continuous function,
`f(x)` , on a closed interval `[a,b]` is given by

`bar f(x) =(f(b)-f(a))/(b-a)`

So the average rate of change of the function `f(x)=3+x^3` on `[0,2]` is:

`Aroc = ( f(2)-f(0) ) / ( 2-0 )`
`" " = ( ( 3+2^3) - (3+0) ) / 2`
`" " = ( ( 11) - (3) ) / 2`
`" " = 8/2`
`" " = 4`