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# Exponential Growth

## Functions with x as an exponent

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Exponential Growth Function

### Vocabulary Language: English

Asymptotes

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).
Exponential Function

Exponential Function

An exponential function is a function whose variable is in the exponent. The general form is $y=a \cdot b^{x-h}+k$.
Exponential growth

Exponential growth

Exponential growth occurs when a quantity increases by the same proportion in each given time period.
Exponential Growth Function

Exponential Growth Function

An exponential growth function is a specific type of exponential function that has the form $y=ab^x$, where $h=k=0, a>0,$ and $b>1$.
Model

Model

A model is a mathematical expression or function used to describe a physical item or situation.