Exponential Functions

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What is an exponential function?

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What does it mean for a function to exhibit exponential growth?

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What does it mean for a function to exhibit exponential decay?

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How do you calculate the value of an exponential function?

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Front

What is the general form of an exponential growth function?

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Front

What is the general form of an exponential decay function?

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Front

If a population doubles every year, what is the growth factor?

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The growth factor is 2, meaning the population multiplies by 2 each year.

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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 of an exponential function indicate?

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The base of an exponential function indicates the growth or decay rate; if the base is greater than 1, it indicates growth, and if it is between 0 and 1, it indicates decay.