Question

How do you tell whether `f(x)=(5/6)^-x` is an exponential growth or decay?

Answer 1

Exponential growth.

Explanation:

There's a negative power, which means you can flip the fraction:

`(5/6)^-x = (6/5)^x`

Because `6/5 > 1`, if you multiply it by itself `x` times (as long as `x > 1`) then it will become larger. Therefore, it is exponential growth.