# 3.4: Graphs of Exponential Functions

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**Practice**Graphs of Exponential Functions

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Asymptotes

An asymptote is a line on the graph of a function representing a value toward which the function may approach, but does not reach (with certain exceptions).Asymptotic

A function is asymptotic to a given line if the given line is an asymptote of the function.Exponential Function

An exponential function is a function whose variable is in the exponent. The general form is .grows without bound

If a function grows without bound, it has no limit (it stretches to ).Horizontal Asymptote

A horizontal asymptote is a horizontal line that indicates where a function flattens out as the independent variable gets very large or very small. A function may touch or pass through a horizontal asymptote.Transformations

Transformations are used to change the graph of a parent function into the graph of a more complex function.### Image Attributions

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Graphing functions with the input variable in the exponent (exponential functions) using transformations and technology.

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Date Created:

Nov 01, 2012
Last Modified:

Mar 23, 2016
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