Exponential Functions Recap

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What is an exponential function?

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

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CCSS.HSF-IF.C.8B

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There were 3 ants.

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CCSS.HSF.LE.B.5

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Which equation represents exponential growth?

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CCSS.HSF-LE.A.1A

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What is the difference between exponential growth and exponential decay?

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Exponential growth occurs when the base of the function is greater than 1, leading to an increase in value. Exponential decay occurs when the base is between 0 and 1, leading to a decrease in value.

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CCSS.HSF-IF.C.8B

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This is an example of exponential decay.

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CCSS.HSF-IF.C.8B

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How can you determine if a function is exhibiting exponential growth?

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You can determine exponential growth by checking if the base of the function is greater than 1.

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CCSS.HSF-IF.C.8B

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This represents exponential growth because the base (1.3) is greater than 1.

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CCSS.HSF-IF.C.8B

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What is the general form of an exponential decay function?

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CCSS.HSF.IF.A.2