Exponential Functions 2024

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What is an exponential function?

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What does the base of an exponential function indicate?

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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.

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What is the decay rate in an exponential decay function?

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The decay rate is the percentage by which the quantity decreases over a specific time period. For example, a decay rate of 20% means that 20% of the quantity is lost each time period.

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How do you write the equation for exponential decay?

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What is the initial value in an exponential function?

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

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An exponential function will show a constant ratio between consecutive values. If you divide each value by the previous one, the result will be the same for all pairs.

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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 over time.

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What does the graph of an exponential growth function look like?

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The graph of an exponential growth function rises sharply and curves upwards, starting from the initial value and increasing rapidly as 'x' increases.

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What does the graph of an exponential decay function look like?

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The graph of an exponential decay function starts at the initial value and decreases rapidly at first, then levels off, approaching zero but never reaching it.

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What is the formula for calculating the remaining amount after exponential decay?

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