Intro to Equations of Exponential Functions

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What is an exponential function?

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What does the base in an exponential function represent?

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The base in an exponential function represents the growth 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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How do you identify the growth factor in an exponential function?

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What is the general form of an exponential growth equation?

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What is the initial value in an exponential function?

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How do you write an exponential function that starts at a specific value?

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What is the difference between linear and exponential growth?

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Linear growth increases by a constant amount, while exponential growth increases by a constant percentage. In exponential growth, the rate of increase itself grows over time.

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How can you determine if a function is exponential from a table of values?

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If the ratio of consecutive outputs (y-values) is constant, the function is exponential. For example, if the values double or triple consistently, it indicates exponential growth.

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What is the standard form of an exponential function?

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How do you find the equation of an exponential function from a word problem?

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