# How do you determine if the equation f(x) = .08^x represents exponential growth or decay?

Feb 14, 2016

#### Explanation:

Check out the trend below:

$f \left(1\right) = {0.08}^{1} = 0.08$

$f \left(2\right) = {0.08}^{2} = 0.0064$

$f \left(5\right) = {0.08}^{5} = 0.0000032768$

As you can see, as $x$ increases, the function becomes smaller and smaller. Therefore, it is decaying exponentially.