Exponential Functions

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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 rate. 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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The translation of the function is 'Up 2' because the graph is shifted vertically upwards by 2 units.

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CCSS.HSF.BF.B.3

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CCSS.HSF-IF.C.8B

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CCSS.HSF-IF.C.8B

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The translation of the function is 'Down 3' because the graph is shifted vertically downwards by 3 units.

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CCSS.HSF.BF.B.3

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The translation of the function is 'Up 7' because the graph is shifted vertically upwards by 7 units.

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What is the general form of an exponential function?

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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 smaller base (greater than 0 but less than 1) results in faster decay.

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CCSS.HSF-IF.C.7E

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What is the horizontal asymptote of an exponential function?

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CCSS.HSF-IF.C.7E