Exponential Functions

Click here to open an associated Mathcad worksheet:

Graphic Representation

Exponential graphs are asymptotic to the x-axis: In the long term, in one direction or the other, they become arbitrarily close to, but never touch, the x-axis.

They live entirely in a half plane on one side or the other of the x-axis.

The curves may either pull away from or approach the x-axis. These changes may occur at increasing rates (more positive or less negative) or decreasing rates (less positive or more negative).

The above graphs show just a few of the members of the family of exponential functions. To see how these and other exponential graphs can be created by tuning the family's parameters, see the associated worksheet.