5.04 Exponential Functions

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What is an exponential function?

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What is the difference between exponential growth and decay?

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What does the graph of an exponential growth function look like?

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The graph of an exponential growth function rises steeply to the right and approaches the x-axis but never touches it.

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What does the graph of an exponential decay function look like?

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The graph of an exponential decay function falls steeply to the right and approaches the x-axis but never touches it.

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What is the general form of an exponential decay equation?

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How do you determine if a function is exponential decay from its equation?

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What is the effect of changing the base in an exponential function?

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Changing the base affects the rate of growth or decay; a larger base results in faster growth, while a base closer to 0 results in slower decay.