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# 12.16: Exponential Functions

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

Asymptotic

Asymptotic

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

Exponential Function

An exponential function is a function whose variable is in the exponent. The general form is $y=a \cdot b^{x-h}+k$.
grows without bound

grows without bound

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

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

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

## Date Created:

Jan 16, 2013

Jul 06, 2015
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