Question

How do you find the average rate of change for the function `y=3x^4` on the indicated intervals [1,3]?

Answer 1

I found: `120`

Explanation:

The average rate of change is given as: `Av=(y(x_2)-y(x_1))/(x_2-x_1)`
where `y()` is the fuction evaluated in `x_1=1` and `x_2=3` so you get:
`y(1)=3*1=3`
`y(3)=3(3^4)=243`
so:
`Av=(243-3)/(3-1)=120`