3.7 Rational functions

3.7 Rational functions - 3.7 Rational functions Sunday 8:52...

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A rational function is a function that is a ratio of two polynomials Ex. A function is undefined if its denominator =0. Where does this occur on the above? Often, we have cases where, as the function approaches x-values where the function is undefined (where the denominator is approaching zero), the value of the function grows very fast. These are called asymptotes. Remember that say, if you have the number 2 divided by a number that is really small, say 0.000000001 (which is close to 0), we get a large number. #1 Give equations of the horizontal and vertical asymptotes for the following function: 3.7 Rational functions Sunday, September 01, 2013 8:52 PM 3.7 Page 1
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The vertical asymptotes are related to x values that make the function undefined. The horizontal asymptotes are related to what happens to the value of the function when x is really big or really small (approaching positive or negative infinity) See what happens when you try to evaluate at x=-5 Sometimes these vertical asymptotes show up as weird lines on our calculator.
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