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Graphs of Exponential Functions

Growth and decay functions with varying compounding intervals

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Exponential Growth Function

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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).
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.

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