Question

Which is an exponential decay function?

f(x)=3/4(7/4)*
f(x)=2/3(4/5)-*
f(x)=3/2(8/7)-*
f(x)=1/3(-9/2)*​

Answer 1

The third answer

Explanation:

Answer 2

`f(x) = \left((3)/(2)\right)\cdot \left((8)/(7) \right)^(-x)`

Explanation:

An exponential decay function has the following form:

`y = y_(o)\cdot b^(r\cdot t)`, where
`r < 0` and
`y_(o) \in \mathbb{R^(+)}, y > 1`

By comparison, the function
`f(x) = \left((3)/(2)\right)\cdot \left((8)/(7) \right)^(-x)` is an exponential decay function.