Exponential Growth and Decay Review

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What is exponential growth?

Back

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CCSS.HSF-LE.A.1A

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What is exponential decay?

Back

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CCSS.HSF-IF.C.8B

Front

What does the base of an exponential function indicate?

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The base of an exponential function indicates the growth or decay factor. If the base is greater than 1, the function represents growth; if the base is between 0 and 1, it represents decay.

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CCSS.HSF-IF.C.8B

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How do you identify an exponential growth graph?

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An exponential growth graph rises sharply and continuously increases as x increases, showing a J-shaped curve.

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CCSS.HSF-IF.C.7E

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How do you identify an exponential decay graph?

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An exponential decay graph falls sharply and continuously decreases as x increases, showing a decreasing curve that approaches the x-axis.

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CCSS.HSF-IF.C.7E

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What is the initial value in an exponential function?

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The initial value is the value of the function when time (t) is zero, represented by 'a' in the formulas for exponential growth and decay.

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CCSS.HSF.LE.B.5

Front

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

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f(2) = 30(1.5)^2 = 30(2.25) = 67.5.

Tags

CCSS.HSF-IF.C.8B

Front

If the price of gas is $2.35 and increases by 2% weekly, how do you calculate the price after 7 weeks?

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Use the formula for exponential growth: Price = Initial Price * (1 + rate)^time. Here, Price = 2.35 * (1 + 0.02)^7.

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What is the formula for calculating future value in exponential growth?

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Tags

CCSS.HSF-IF.C.8B

Front

What is the formula for calculating future value in exponential decay?

Back

Tags

CCSS.HSF-IF.C.8B