Key Features of Exponential Functions

Front

What is an exponential function?

Back

Front

What does the base of an exponential function represent?

Back

The base of an exponential function determines the rate of growth or decay. 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

Front

How do you identify exponential growth from a table of values?

Back

Exponential growth can be identified if the ratio of consecutive values remains constant or if the values increase by a consistent multiplicative factor.

Front

What is the general form of an exponential decay function?

Back

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CCSS.HSF-IF.C.8B

Front

What does the y-intercept of an exponential function represent?

Back

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CCSS.HSF-IF.C.7E

Front

How can you model a situation where a quantity decreases by a percentage each period?

Back

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CCSS.HSF.BF.A.2

Front

What is the significance of the constant in an exponential function?

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The constant in an exponential function represents the initial value or starting point of the function before any growth or decay has taken place.

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CCSS.HSF.LE.B.5

Front

How do you convert a percentage decrease into a decay factor?

Back

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CCSS.HSF-IF.C.8B

Front

What is the relationship between exponential functions and logarithms?

Back

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CCSS.HSF.BF.B.5

Front

How can you determine the number of periods in an exponential decay situation?

Back

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CCSS.HSF.LE.A.4