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For the following exercises, identify whether the statement represents an exponential function. Explain.

A population of bacteria decreases by a factor of $\frac{1}{8}$ every 24 hours.

$\frac{1}{8}$

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Missouri State University

Campbell University

McMaster University

Numerade Educator

so we want to be able to quickly identify. Function is an exponential function or not. If it increases or decreases by a percentage of the current value, it is exponential population change. Bacteria is a very typical example. Look for factor or proportion in question, so if it decreases by factor, her unit time, it is an exponential function.