Question

Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.

Answer 1

84

Explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change =
`(f(x_2)-f(x_1))/(x_2-x_1)`

(255 - 3) / (4 - 1) = 252 / 3 = 84