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

Mar 16, 2018

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.