Exponential Decay and Growth

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What is Exponential Growth?

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What is Exponential Decay?

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What does the base of an exponential function represent?

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The base of an exponential function indicates the growth or decay factor. For growth, the base is greater than 1 (e.g., 2, 3), and for decay, the base is between 0 and 1 (e.g., 0.5, 0.1).

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How do you identify Exponential Growth from a graph?

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Exponential Growth is identified by a curve that rises steeply as it moves from left to right, indicating that the quantity increases rapidly.

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How do you identify Exponential Decay from a graph?

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Exponential Decay is identified by a curve that falls steeply as it moves from left to right, indicating that the quantity decreases rapidly.

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The growth rate is 90%, calculated as (1 - 0.10) * 100%.

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The growth rate is 34%, calculated as (1.34 - 1) * 100%.

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The growth rate is 80%, calculated as (1 - 0.2) * 100%.

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What is the general form of an exponential decay equation?

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What is the difference between linear and exponential functions?

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Linear functions increase or decrease by a constant amount, while exponential functions increase or decrease by a constant percentage.