Exponential Functions

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What is an exponential function?

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What does it mean for a value to decrease exponentially?

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A value decreases exponentially when it reduces by a constant percentage over equal intervals of time. For example, if a truck loses 15% of its value every five years, its value decreases exponentially.

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How do you express the value of an asset after a certain time with exponential decay?

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What is the half-life of a substance?

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The half-life of a substance is the time required for half of the substance to decay or be reduced to half its initial amount. For example, carbon-14 has a half-life of about 5,730 years.

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How do you calculate the monthly growth factor from an annual growth rate?

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What is the general form of an exponential growth equation?

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What is the difference between exponential growth and linear growth?

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Exponential growth increases at a rate proportional to its current value, leading to faster increases over time, while linear growth increases by a constant amount.

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How do you solve exponential equations?

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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.

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How do you express the decay of a substance over time?

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