Exponentials
Growth
The exponential parent function is y = kx where k is a constant. The easiest way to begin looking at this pattern is to make a table.
Recall from the Families of Functions Unit that the function g(x) = 2x would create the following table and graph:
![growth1 growth1](https://claregladwinresd.glk12.org/pluginfile.php/956/mod_book/chapter/354/Exponential_and_Logarithmic_Functions/Images/growth1.png)
Notice that the graph increases more rapidly as x increases. The left side of the graph is approaching, but never touches the line y = 0, which is the graph's asymptote. Therefore, the domain of this function is and the range of the function is
.