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How to state an equation of rational functions that has Asymptotes?

  1. Apr 7, 2010 #1

    NYH

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    How to state the equations of a rational functions with the following asymptotes?

    (1)x=2, y=-3

    (2)y=0, x=4

    (3)y=0
     
  2. jcsd
  3. Apr 7, 2010 #2
    Welcome NYH,
    It's not clear what you ask. There can be several rational functions with two common asymptotes & the classification would be difficult.
    The simplest curve for {x=h,y=k} would be the hyperbola (x-h)(y-k) =1.
    For (3) , y=0 itself is the simplest.
     
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