Question

How do you determine if the equation `f(x) = 7(1/4)^x` represents exponential growth or decay?

Answer 1

Observe the direction as 'x' is increased.

Explanation:

A growth function will have increasing `f(x)` values. A decay function will have decreasing ones. A simple substitution of two values should be enough.
`f(x) = 7 xx(1/4)^x`

For x = 0, `f(x) = 7`

For x = 1, `f(x) = 7/4`

For x = 2, `f(x) = 7/16`

Definitely a decaying trend!