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 grows by 10% each 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 over time.

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51.2

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486

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1

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What does the graph of an exponential growth function look like?

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The graph of an exponential growth function rises steeply to the right, indicating rapid increase.

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What does the graph of an exponential decay function look like?

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The graph of an exponential decay function falls steeply to the right, indicating rapid decrease.

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The common base is 2.

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What is the formula for exponential growth?

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What is the formula for exponential decay?

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