# How do you determine if the equation #y = (2)^x# represents exponential growth or decay?

##### 2 Answers

Mar 26, 2018

When

(When

Mar 26, 2018

Check the sign of the exponent, and you will find that it represents exponential growth.

#### Explanation:

As

graph{2^x [-23.17, 56.83, -6.88, 33.12]}

If the equation was

graph{2^(-x) [-23.17, 56.83, -6.88, 33.12]}

Basically, the sign of the exponent tells you if the function is increasing or decreasing.