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# Contrast Asymptotes and a Real-Life Exponential Function

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One of the archaeologists you interviewed for your article is graphing asymptotes to illustrate the data generated through carbon dating the half-life of fossil specimens. Help him with his work by solving these problems:
1. Explain and contrast the types of asymptotes considered for rational functions.
2. Browse through some newspapers or magazines and find a situation that fits an exponential function . Explain why that data or situation fits an exponential function.

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#### Solution Preview

(1) Rational functions exhibit three types of asymptotes:

* Vertical asymptotes. These are vertical lines near which the function f(x) becomes infinite. If the denominator of a rational function has more factors of (x - a) than the numerator, then the rational function will have a vertical asymptote at x = a.

* Horizontal Asymptotes. A horizontal asymptote is a line y = c such that the values of f(x) get increasingly close to the ...

#### Solution Summary

Asymptotes and exponential functions are discussed. The solution is detailed and well presented in about 320 words.

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