Question

How do you determine if the equation `y = 4^x` represents exponential growth or decay?

Answer 1

I tried this:

Explanation:

You can try by substituting values of `x` that are "easy" to use and increasing in value.

Try these:

`x=0` then `y=4^0=1`
`x=1` then `y=4^1=4`
`x=2` then `y-4^2=16`
`x=3` then `y=4^3=64`
and so on...

you can immediately see that increasing `x` leads to an increase in the value of your function `y`; so, you have an exponential growth.