Write and Evaluate Exponential Functions

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What is an exponential function?

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How can you identify an exponential function from a description?

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An exponential function can be identified if the quantity increases or decreases by a constant factor over equal intervals of time, such as doubling, tripling, or decreasing by a certain percentage.

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What is the difference between linear and exponential growth?

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Linear growth increases by a constant amount over equal intervals, while exponential growth increases by a constant percentage, leading to faster growth as time progresses.

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What is the formula for exponential growth?

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What is the formula for exponential decay?

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What does the base of an exponential function represent?

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

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How do you write an exponential function for a population that triples every year?

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What is half-life in the context of exponential decay?

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Half-life is the time required for a quantity to reduce to half its initial value. It is commonly used in radioactive decay and can be modeled with an exponential decay function.

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How do you model a situation where a quantity decreases by 20% each year?

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What is the general form of an exponential function?

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