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

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

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What is the general form of an exponential decay function?

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

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

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

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What is the relationship between exponential functions and logarithms?

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

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