Exponential Functions

Front

What is an exponential function?

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Front

What does it mean for a function to exhibit exponential growth?

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What does it mean for a function to exhibit exponential decay?

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Front

How do you determine if a function is exponential from its equation?

Back

Front

What is the formula for calculating the value of an asset after depreciation?

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Front

What is the significance of the base in an exponential function?

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The base of an exponential function determines the rate of growth or decay. A base greater than 1 indicates growth, while a base between 0 and 1 indicates decay.

Front

How do you find the value of an exponential function at a specific point?

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Front

What is the general form of an exponential growth equation?

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Front

What is the general form of an exponential decay equation?

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Front

How can you identify exponential growth or decay from a table of values?

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Exponential growth is indicated by values that increase rapidly, while exponential decay is indicated by values that decrease rapidly. The ratio of consecutive values remains constant in exponential functions.