Exponential Growth and Decay

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What is Exponential Growth?

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What is Exponential Decay?

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Identify the model: A=10(1.01)^3. Is it Growth or Decay?

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Identify the model: A=10(0.99)^3. Is it Growth or Decay?

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What is the general form of 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 (if b > 1) or decay (if 0 < b < 1) factor of the function.

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How can you tell if a table of values represents exponential growth?

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A table represents exponential growth if the ratio of consecutive values is constant (i.e., each value is multiplied by the same factor).

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How can you tell if a table of values represents exponential decay?

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A table represents exponential decay if the ratio of consecutive values is constant and less than 1 (i.e., each value is multiplied by a factor less than 1).

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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 linear growth, the graph is a straight line; in exponential growth, the graph is a curve that rises steeply.

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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.