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# Graphs of Exponential Functions

## Growth and decay functions with varying compounding intervals

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Practice Graphs of Exponential Functions

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Exponential Growth Function

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### Vocabulary Language: English

TermDefinition
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 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 occurs when a quantity increases by the same proportion in each given time period.
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 A model is a mathematical expression or function used to describe a physical item or situation.