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It is important to remember that, although parts of each of the two graphs seem to lie on the -axis.Exponential growth and decay often involve very large or very small numbers.As we mentioned above, the time it takes for a quantity to double is called the doubling time.Given the basic exponential growth equation Recent data suggests that, as of 2013, the rate of growth predicted by Moore’s Law no longer holds.
It is believed to be accurate to within about 1% error for plants or animals that died within the last 60,000 years.
In real-world applications, we need to model the behavior of a function.
In mathematical modeling, we choose a familiar general function with properties that suggest that it will model the real-world phenomenon we wish to analyze.
For example, the distance to the nearest star, Proxima Centauri, measured in kilometers, is 40,113,497,200,000 kilometers.
Expressed in scientific notation, this is We now turn to exponential decay.