Writing Exponential Equations

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What is an exponential function?

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What does the base of an exponential function represent?

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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 exponential growth; if the base is between 0 and 1, it represents exponential decay.

Front

How do you write an exponential equation for a population that doubles every time period?

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Front

What is the general form of an exponential growth equation?

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Front

What is the difference between growth and decay in exponential functions?

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Growth occurs when the base of the exponential function is greater than 1, leading to an increase over time. Decay occurs when the base is between 0 and 1, leading to a decrease over time.

Front

How do you determine the growth/decay factor from an exponential function?

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Front

What is the formula for exponential decay?

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How can you express an exponential function in terms of time?

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What is the significance of the initial value in an exponential function?

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The initial value 'a' in an exponential function represents the starting amount before any growth or decay occurs.

Front

How do you convert a doubling time into an exponential equation?

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