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What is an exponential function?

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How do you identify exponential growth?

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Exponential growth occurs when the rate of change of a quantity is proportional to its current value, leading to a rapid increase. In an exponential function, the base of the exponent is greater than 1.

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How do you identify exponential decay?

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Exponential decay occurs when the rate of change of a quantity is proportional to its current value, leading to a rapid decrease. In an exponential function, the base of the exponent is between 0 and 1.

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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 variable 'r' represent in exponential functions?

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'r' represents the rate of growth or decay in an exponential function, expressed as a decimal.

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How do you convert a decay rate to a percentage?

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To convert a decay rate 'r' to a percentage, multiply 'r' by 100. For example, if r = 0.35, the decay rate is 35%.

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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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What is the difference between linear and exponential functions?

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Linear functions have a constant rate of change, while exponential functions have a rate of change that increases or decreases proportionally to the current value.

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How can you tell if a table of values represents an exponential function?

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If the ratio of consecutive values is constant, the table represents an exponential function. If the difference between consecutive values is constant, it represents a linear function.