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Graphing Simple Rational Functions 8.1

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  • Graphing Simple

    Rational Functions

    8.1

  • Write Notes

    Objective: Students will graph Rational functions by finding the vertical and horizontal asymptotes

  • Vocabulary

    Rational Function

    Asymptote

    End Behavior

  • Parent Function

     Simple Rational Function

  • Vertical AsymptoteIs where the function is undefined.

    f(x) = 5x + 3

  • 1.  If n 

  • 2.  If n = m, then y = an / bm is a horizontal asymptote of the graph of R(x).

    Horizontal Asymptote

    Example:

  • 3.  If n > m , the graph of R has an oblique asymptote.  End behavior found using long division.

    Horizontal Asymptote

    Example:


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