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Definition and Domain of Rational Functions

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Definition and Domain of Rational Functions A rational function is defined as the quotient of two polynomial functions. f(x) = P(x) / Q(x) Here are some examples of rational functions: g(x) = (x2 + 1) / (x - 1) h(x) = (2x + 1) / (x + 3) The rational functions to explored in this tutorial are of the form f(x) = (ax+b)/(cx + d) where a, b, c and d are parameters that may be changed, using sliders, to understand their effects on the properties of the graphs of rational functions defined above. Example: Find the domain of each function given below. g(x) = (x - 1) / (x - 2) h(x) = (x + 2) / x Solution

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