Exponential Growth and Decay

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What is Exponential Growth?

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What is Exponential Decay?

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How can you identify Exponential Growth from an equation?

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How can you identify Exponential Decay from an equation?

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What does the base of an exponential function indicate?

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In an exponential function, if the base is greater than 1, it indicates growth. If the base is between 0 and 1, it indicates decay.

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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, leading to faster growth over time.

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What is the general form of an exponential function?

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What is a real-world example of Exponential Growth?

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A real-world example of Exponential Growth is population growth, where the population increases by a certain percentage each year.

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What is a real-world example of Exponential Decay?

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A real-world example of Exponential Decay is radioactive decay, where the quantity of a radioactive substance decreases over time.

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What does the term 'half-life' refer to in Exponential Decay?

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Half-life is the time required for a quantity to reduce to half its initial value in an exponential decay process.