Exponential Functions: Introduction (QZ)

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What is an exponential function?

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What is the general form of an exponential function?

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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 the same amount.

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CCSS.HSF-LE.A.1A

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What is the difference between linear and exponential functions?

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Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

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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 factor. If the base is greater than 1, the function represents exponential growth; if it is between 0 and 1, it represents exponential decay.

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CCSS.HSF-IF.C.8B

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CCSS.HSF.LE.B.5

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CCSS.HSF.LE.A.2

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How can you determine the growth factor from an exponential function?

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CCSS.HSF-IF.C.8B

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What does it mean if an exponential function has a base less than 1?

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If an exponential function has a base less than 1, it represents exponential decay, meaning the value of the function decreases as 'x' increases.

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CCSS.HSF-IF.C.8B

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

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CCSS.HSF.LE.B.5