Asymptotes and Holes Graphing Rational Functions - University of Houston

[Pages:28]CHAPTER 2 Polynomial and Rational Functions

Section 2.3: 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:

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University of Houston Department of Mathematics

SECTION 2.3 Rational Functions

Finding Vertical Asymptotes, Horizontal Asymptotes, and Holes:

Example: Solution:

MATH 1330 Precalculus

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CHAPTER 2 Polynomial and Rational Functions

Example: Solution:

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University of Houston Department of Mathematics

SECTION 2.3 Rational Functions

Example: Solution:

MATH 1330 Precalculus

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CHAPTER 2 Polynomial and Rational Functions

Example: Solution:

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University of Houston Department of Mathematics

SECTION 2.3 Rational Functions

Definition of a Slant Asymptote:

MATH 1330 Precalculus

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CHAPTER 2 Polynomial and Rational Functions Example:

Solution:

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University of Houston Department of Mathematics

SECTION 2.3 Rational Functions

Note: For a review of polynomial long division, please refer to Appendix A.2: Dividing Polynomials .

Additional Example 1:

Solution: The numerator and denominator have no common factors.

MATH 1330 Precalculus

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