Section 2'6 Rational Functions Part 2

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Section 2.6 Rational FunctionsPart 2
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What you should learn

• How to analyze and sketch graphs of rational
  functions
• How to sketch graphs of rational functions that
  have slant asymptotes
• How to use rational functions to model real-life
  problems

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Asymptotes

• Vertical
• at zeros of the denominator
• Horizontal
• N lt D asymptote at y 0
• N D asymptote at y aN / aD
• N gt D no Horizontal asymptote

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N gt D No Horizontal Asymptote
Slant Asymptote
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2.6 Homework Part 1

• Rational Functions
• page 174
• 5 - 39 odd,

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46. State the domain of the function and identify
any vertical and slant asymptotes.
Slant Asymptote