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 over time.

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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 y-intercept represent in an exponential function?

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How can you identify exponential growth from a graph?

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Exponential growth is identified on a graph by a curve that rises steeply to the right, indicating that the quantity increases rapidly over time.

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How can you identify exponential decay from a graph?

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Exponential decay is identified on a graph by a curve that falls steeply to the right, indicating that the quantity decreases rapidly over time.

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What is the sequence 2, 4, 8, 16, 32, 64 an example of?

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This sequence is an example of exponential growth.

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What is the sequence 10, 5, 2.5, 1.25 an example of?

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This sequence is an example of exponential decay.