Graphing Rational Function...1

Discussion in 'Other Pre-University Math' started by nycmathguy, Sep 24, 2021.

  1. nycmathguy

    nycmathguy

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    Section 2.6
    Question 18

    20210924_154735.jpg

    Part (a)

    Let R = all real numbers.

    Domain = R except for x = 3.

    Part (b)

    No x-intercepts.

    The y-intercept is y = -1/3.

    Part (c)

    Vertical Asymptotes: x = 3
    Top degree < bottom degree.
    So, the horizontal asymptote is the line y = -1/3.

    Part (d)

    20210924_161516.jpg

    Desmos graph below to confirm my sketch by hand.

    Screenshot_20210924-161536_Samsung Internet.jpg
     
    nycmathguy, Sep 24, 2021
    #1
  2. nycmathguy

    MathLover1

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    Vertical asymptote is the line x=3
    Horizontal asymptote is the line y=0

    [​IMG]
     
    MathLover1, Sep 24, 2021
    #2
    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Is my graph wrong?
     
    nycmathguy, Sep 25, 2021
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