Exponential Growth and Decay

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What is Exponential Growth?

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What is Exponential Decay?

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What is the general form of an exponential function?

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How can you identify an exponential function from a table of values?

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An exponential function will show a constant ratio between consecutive outputs (y-values) when the inputs (x-values) are equally spaced.

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What is the difference between linear and exponential growth?

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Linear growth increases by a constant amount, while exponential growth increases by a constant percentage, leading to much larger values over time.

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What does the base 'b' represent in an exponential function?

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The base 'b' in an exponential function determines the growth or decay rate. If b > 1, it represents growth; if 0 < b < 1, it represents decay.

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What is the value of 'r' in the exponential growth formula?

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What is the value of 'r' in the exponential decay formula?

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How do you convert a percentage growth rate to a decimal?

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To convert a percentage growth rate to a decimal, divide the percentage by 100. For example, a 5% growth rate becomes 0.05.

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What is the formula for continuous exponential growth?

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