Question

Given `f(x) = 3^x`, what is the average rate of changes from `x=-1` to `x=2`?

Answer 1

Memorize this definition: The average rate of change of function `f` from `x=a` to `x=b` is `(f(b)-f(a))/(b-a)`

Explanation:

For this function and `[a,b]`, we get

`(f(b)-f(a))/(b-a) = (3^2-3^-1)/(2-(-1)) = (26/3)/3 = 26/9`