U6Q1 Exponential Growth and Decay

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What is Exponential Growth?

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Exponential growth occurs when the increase in a quantity is proportional to its current value, leading to growth that accelerates over time. Example: Population growth under ideal conditions.

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What is Exponential Decay?

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Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. Example: Radioactive decay of a substance.

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What is the general formula for exponential growth?

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What is the general formula for exponential decay?

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

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How do you identify exponential growth from a sequence?

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A sequence shows exponential growth if each term is a constant multiple of the previous term. Example: 2, 4, 8, 16 (each term is multiplied by 2).

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How do you identify exponential decay from a sequence?

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A sequence shows exponential decay if each term is a constant fraction of the previous term. Example: 100, 50, 25 (each term is halved).

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What is the base of an exponential function?

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What does a base greater than 1 indicate in an exponential function?

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