U3 - Exponent Rules and Exponential Functions (2024)

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What is the range of the graph of an exponential function?

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The range of an exponential function is typically represented as R:{y>0}.

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How do you calculate the value of a depreciating asset after a certain number of years?

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Use the formula: Value = Initial Value * (1 - Depreciation Rate) ^ Number of Years.

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If a car depreciates at 16% per year, what is the value after 5 years if it was purchased for $23,500?

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$9,827.98.

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What is the formula for exponential decay?

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The formula is: Value = Initial Value * e^{(-kt)}, where k is the decay constant.

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What does it mean for a function to be exponential?

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An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

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