5.2 Lesson Quotients _of_Polynomials

5.2 Lesson Quotients _of_Polynomials - 5.2.Lesson_.notebook...

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5.2.Lesson_QuotientsofPolynomials.notebook 1 October 23, 2009 5.2 Exploring Quotients of Polynomial Functions Definition: A rational function is a function that can be expressed as where p(x) and q(x) are polynomial functions, q(x) ≠0. When we divide two polynomial functions, the rational function that is created could have one or more of the following discontinuities: Vertical Asymptotes (vertical lines where the function is undefined) Holes ( points where the function is undefined) Horizontal asymptotes Oblique asymptotes DISCONTINUOUS RATIONAL FUNCTIONS (A) Rational Functions with Holes Holes will occur in a graph of a function when the indeterminate form occurs. How do we know where there is a hole in a function? Example #1: Sketch the graph of the function
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5.2.Lesson_QuotientsofPolynomials.notebook 2 October 23, 2009 Example #2: Find the holes and vertical asymptote for the following function. Use the information to sketch the function.
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5.2 Lesson Quotients _of_Polynomials - 5.2.Lesson_.notebook...

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