Writing Exponential Functions

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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 determines the rate of growth or decay. If the base is greater than 1, the function represents exponential growth; if the base is between 0 and 1, it represents exponential decay.

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What is the common ratio in an exponential function?

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The common ratio is the factor by which the function's value multiplies for each unit increase in the exponent. It is represented by the base of the exponential function.

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How do you solve an exponential equation with a common base?

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To solve an exponential equation with a common base, set the exponents equal to each other after rewriting both sides with the same base.

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What is the general form of an exponential growth function?

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What is the general form of an exponential decay function?

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How do you identify an exponential function from a table of values?

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An exponential function can be identified from a table of values if the ratio of consecutive outputs is constant.

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What is the difference between exponential and linear functions?

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Exponential functions grow or decay at a rate proportional to their current value, while linear functions grow at a constant rate.

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What does the term 'triple' mean in the context of exponential growth?

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In exponential growth, 'triple' means that the value multiplies by 3 for each time period.

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How do you find the first few terms of an exponential sequence?

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