Writing Exponential Functions

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What is an exponential function?

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What does the base of an exponential function represent?

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

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An exponential function can be identified if the ratio of consecutive outputs (y-values) is constant when the inputs (x-values) are increased by equal intervals.

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What is the general form of an exponential growth function?

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What is the general form of an exponential decay function?

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How do you write an exponential function from a word problem?

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What is the significance of the initial value in an exponential function?

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How do you convert a word problem into an exponential equation?

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What is the difference between exponential growth and linear growth?

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Exponential growth increases at a rate proportional to its current value, while linear growth increases by a constant amount.