## Characteristics of Graphs of Exponential Functions

This section will define the key characteristics of the graph of an exponential function, including horizontal asymptotes, long-run behavior, and intercepts.

### Graphs of Exponential Functions

### Learning Objectives

- Graph exponential functions.
- Graph exponential functions using transformations.

As we discussed in the previous section, exponential functions are used for many real-world applications such as finance, forensics, computer science, and most of the life sciences. Working with an equation that describes a real-world situation gives us a method for making predictions. Most of the time, however, the equation itself is not enough. We learn a lot about things by seeing their pictorial representations, and that is exactly why graphing exponential equations is a powerful tool. It gives us another layer of insight for predicting future events.

Source: Rice University, https://openstax.org/books/college-algebra/pages/6-2-graphs-of-exponential-functions

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