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Asymptotes and Holes Graphing Rational Functions

CHAPTER 2 Polynomial and Rational Functions University of Houston Department of Mathematics 204 Section : Rational Functions Asymptotes and Holes Graphing Rational Functions Asymptotes and Holes Definition of a Rational Function: Definition of a Vertical Asymptote: Definition of a Horizontal Asymptote: SECTION Rational Functions MATH 1330 Precalculus 205 Finding Vertical Asymptotes , Horizontal Asymptotes , and Holes : Example: Solution: CHAPTER 2 Polynomial and Rational Functions University of Houston Department of Mathematics 206 Example: Solution: SECTION Rational Functions MATH 1330 Precalculus 207 Example: Solution: CHAPTER 2 Polynomial and Rational Functions University of Houston Department of Mathematics 208 Example: Solution: SECTION Rational Functions MATH 1330 Precalculus 209 Definition of a Slant Asymptote: CHAPTER 2 Polynomial and Rational Functions University of Houston Department of Mathematics 210 Example: Solution: SECTION Rational Functions MATH 1330 Precalculus 211 Note: For a review of polynomial long division, please refer to Appendix : Dividing Polynomials.

Exercise Set 2.3: Rational Functions MATH 1330 Precalculus 231 Answer the following. 41. In the function fx 2 2 53 3 2 3 xx xx (a) Use the quadratic formula to find the x-intercepts of the function, and then use a calculator to round these answers to the nearest tenth. (b) Use the quadratic formula to find the vertical

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