Exponential Growth and Decay Review

Front

What is exponential growth?

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Front

What is exponential decay?

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Front

What does the base of an exponential function indicate?

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Front

How do you identify exponential growth from an equation?

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Front

How do you identify exponential decay from an equation?

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Front

What is the initial value in an exponential function?

Back

Front

If a population of bacteria doubles every hour, what type of growth is this?

Back

This is an example of exponential growth, as the population increases by a constant factor over time.

Front

What is the formula to calculate the value of an investment after 't' years with continuous compounding?

Back

Front

If f(x) = 30(1.5)^x, what is f(2)?

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To find f(2), substitute x with 2: f(2) = 30(1.5)^2 = 30(2.25) = 67.5.

Front

What is the value of a car that depreciates by 15% each year if it was initially worth $20,000?

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