Graphing Rational Function...2

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

  1. nycmathguy

    nycmathguy

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    Section 2.6
    Question 24

    20210924_154735.jpg

    Part (a)

    Let R = all real numbers.

    Domain = R except for t = 0.

    Part (b)

    Our t-intercept is the line t = 1/2.
    When t = 0, f(t) is undefined. So,
    no f(t)-intercepts.

    Part (c)

    Vertical Asymptote: t = 0.

    Top degree = bottom degree.
    So, our horizontal asymptote is -2/1 or simply -2.

    Part (d)

    Sketch by hand:

    20210924_163408.jpg

    Desmos graph to confirm my sketch by hand.

    Screenshot_20210924-163519_Samsung Internet.jpg
     
    nycmathguy, Sep 24, 2021
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    MathLover1 likes this.
  2. nycmathguy

    MathLover1

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    correct
     
    MathLover1, Sep 24, 2021
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    nycmathguy likes this.
  3. nycmathguy

    nycmathguy

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    Wish I had more time to graph by hand. It's fun to draw graphs on the xy-plane.
     
    nycmathguy, Sep 25, 2021
    #3
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