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2.6 Rational Functions

2.6 Rational Functions. Asymptotes; Can’t touch this stuff. Asymptote. as·ymp·tote /ˈasəm(p)ˌtōt/ Noun: A line that continually approaches a given curve but does not meet it at any finite distance. Math wants to know the behavior of the function coming at it from the Right or Left.

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2.6 Rational Functions

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  1. 2.6 Rational Functions Asymptotes; Can’t touch this stuff

  2. Asymptote as·ymp·tote /ˈasəm(p)ˌtōt/ Noun: A line that continually approaches a given curve but does not meet it at any finite distance. Math wants to know the behavior of the function coming at it from the Right or Left.

  3. x is all real numbers but what value in the function

  4. x is all real numbers except what value in the function x ≠ 1 The asymptotes would be x = 1

  5. x is all real numbers except what value in the function x ≠ 1 The asymptotes would be x = 1

  6. x is all real numbers except what value in the function x ≠ 1 The asymptotes would be x = 1 Vertical asymptotes is 1 Since the you can not have zero in the denominator.

  7. x is all real numbers but what value in the function x ≠ 1 The asymptotes would be x = 1 Horizontal asymptotes Is also 1

  8. To find the Horizontal Asymptote Look the equation If n = m, then the horizontal asymptote is If n < m, then the horizontal asymptote is 0. If n > m, then No horizontal asymptote If n = m + 1, then we have a slant asymptote. Slant asymptote is y =

  9. Behavior as the function approaches the asymptote

  10. Behavior as the function approaches the asymptote From the Right From the Left Also,

  11. Lets graph

  12. Homework Page 174 – 177 # 5, 9, 17, 27, 45, 53, 69, 73, 91

  13. Homework Page 174 – 177 # 7, 11, 19, 37, 49, 57, 71, 87

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