Question

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

Answer 1

Exponential Decay

Explanation:

Check out the trend below:

`f(1)=0.08^1=0.08`

`f(2)=0.08^2=0.0064`

`f(5)=0.08^5=0.0000032768`

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

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You can read more about this here: http://www.regentsprep.org/regents/math/algebra/ae7/expdecayl.htm