Question

Find the average rate of change for the function f(x)=3^x+17

Using the intervals x=3 to x=6

Answer 1

234

Explanation:

the average rate of change of f(x) in the closed interval [ a, b ] is

`(f(b)-f(a))/(b-a)`

here [ a, b ] = [3, 6 ] , then

f(b) = f(6) =
`3^(6)` + 17 = 729 + 17 = 746

f(a) = f(3) = 3³ + 17 = 27 + 17 = 44 , then

average rate of change =
`(746-44)/(6-3)` =
`(702)/(3)` = 234