Exponential Functions Review

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What is an exponential function?

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What does it mean for a function to exhibit exponential growth?

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Exponential growth occurs when a quantity increases by a consistent percentage over equal intervals of time, resulting in a rapid increase.

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What does it mean for a function to exhibit exponential decay?

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Exponential decay occurs when a quantity decreases by a consistent percentage over equal intervals of time, resulting in a rapid decrease.

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What is the difference between linear and exponential functions?

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Linear functions increase or decrease by a constant amount, while exponential functions increase or decrease by a constant percentage.

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What is the formula for calculating compound interest?

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How do you identify exponential growth from a graph?

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Exponential growth is identified by a curve that rises steeply as 'x' increases, showing that the rate of increase itself is increasing.

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How do you identify exponential decay from a graph?

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Exponential decay is identified by a curve that falls steeply as 'x' increases, showing that the rate of decrease itself is decreasing.

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What is the base of an exponential function?

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What is repeated multiplication in the context of exponential functions?

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Repeated multiplication refers to multiplying a number by itself a certain number of times, which is the essence of how exponential functions are formed.

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