Exponential Functions

Exponential functions are written in the form: In the table below notice that as the *x*-values increase by 1, the *y*-values double. In other words, to get from one *y*-value to the next, multiply by 2, therefore the common ratio is 2.

To find the equation that represents this table of values, substitute any ordered pair from the table into the equation, and solve for *a.*

So the model for this data is: