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. An example is radioactive decay, where the amount of a substance decreases 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 base of an exponential function represent?

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The base of an exponential function indicates the growth or decay factor. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

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What is an asymptote in the context of exponential functions?

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An asymptote is a line that a graph approaches but never touches. For exponential functions, the horizontal asymptote is often the line y = 0.

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If you start with $10 and your money doubles every year, how much will you have in 10 years?

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You will have $10240 after 10 years.

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