Transcription of Rational Functions - Math
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Rational Functions - Math
Rational FunctionsIn this chapter, you ll learn what a Rational function is, and you ll learnhow to sketch the graph of a Rational functionsArational functionis a fraction of polynomials. That is, ifp(x)andq(x)are polynomials, thenp(x)q(x)is a Rational function. Thenumeratorisp(x)andthedenominatorisq(x ).Examples. 3(x 5)(x 1) 1x 2x31=2x3 The last example is both a polynomial and a Rational function. In a similarway, any polynomial is a Rational this class, from this point on, most of the Rational Functions that we ll seewill have both their numerators and their denominators completely will also only see examples where the numerator and the denominatorhave no common factors.
(The denominator might not have any roots.) Draw a vertical dashed line through these points. These vertical lines are called vertical asymptotes. The graph of the rational function will “climb up” or “slide down” the sides of a vertical asymptote. Examples. For the rational function 1 x, 0 is the only root of the denominator,
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