Exponential Growth and Decay

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What is exponential growth?

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Exponential growth occurs when a quantity increases by a consistent percentage over a period of time, resulting in a rapid increase. For example, if a population doubles every year, it is experiencing exponential growth.

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What is exponential decay?

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Exponential decay occurs when a quantity decreases by a consistent percentage over a period of time, leading to a rapid decrease. For example, radioactive substances decay exponentially.

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18

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486

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10, 5, 2.5, 1.25, ... Is an example of exponential...

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Decay

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What is the general formula for exponential growth?

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What is the general formula for exponential decay?

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What does the graph of exponential growth look like?

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The graph of exponential growth rises steeply and continuously increases as x increases.

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What does the graph of exponential decay look like?

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The graph of exponential decay starts high and decreases rapidly, approaching zero but never touching it.

Front

1, .5, .25, .125, ... Is an example of exponential...

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Decay