Question

How do you determine if the equation `f(x) = 2(.44)^x` represents exponential growth or decay?

Answer 1

As `x` increases by `1 , f(x)` is multiplied by `0.44`
So it represents exponential decay function.

Explanation:

`f(x) = 2(0.44)^x ;`

A function of the form `f(x) = ab^x` , where `a > 0 and 0 < b < 1` is

an exponential decay function. Here `a=2 and b=0.44` .

`f(1)=0.88 , f(2)=0.3872 , f(3)=0.170368 , f(4)=0.0749619`

As `x` increases by `1 , f(x)` is multiplied by `0.44`

So it represents exponential decay function. [Ans]