Question

How do you find the average rate of change for the function `f(x) = x^3 - 4x^2` on the indicated intervals [0,10]?

Answer 1

The average rate of change of function `f` on interval `[a,b]` is `(f(b)-f(a))/(b-a)`

Explanation:

The average rate of change for the function `f(x) = x^3 - 4x^2` on the interval `[0,10]` is:

`(f(10)-f(0))/(10-0) = ([1000-400]-[0])/(10-0) = 60`

Note that the average rate of change is also the slope of a line.