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6.1 The Exponential Function and Its Inverse


Exponential functions are useful for describing relationships. If the growth of a population is proportional to the size of the population as it grows, we describe the growth as exponential. Bacterial growth and compound interest are examples of exponential growth. Exponential decay occurs in nuclear reactions and in the depreciation in value of vehicles or equipment.


How can the inverse of an exponential function be found, and why is it useful? Graphing technology is useful for exploring the nature of the inverse of an exponential function. Applications of the inverse of an exponential function will appear throughout this chapter.


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