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

1 Answer
Mar 17, 2017

I would say decay:

Explanation:

You can see that for, say, #x=2,3,4...# your function always gives you a number one divided by something that is increasing every time resulting in a total number that gets smaller every time!
#1/4^2,1/4^3,1/4^4...#

So, basically, as #x# increases #1/4^x# decreases!

Graphically:

graph{(1/4)^x [-10, 10, -5, 5]}