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Math Help - Creating Rational Functions out of asymptotes

  1. #1
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    Creating Rational Functions out of asymptotes

    Hi. I was wondering if anyone knew how to give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4? My book doesn't explain it very well and I can't find any tutorials on the internet. If you are able to, you could please give a small explanation of how you did it so that I can try to figure out how to do the rest of them?

    Thank you so much.
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    Re: Creating Rational Functions out of asymptotes

    What definitions of "vertical asymptote" and "horizontal asymptote" are you using?

    Do you understand that there are an infinite number of possible examples- that there is single solution?
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    Lightbulb Re: Creating Rational Functions out of asymptotes

    Quote Originally Posted by DreadfulGlory View Post
    give an example of a rational function that has a horizontal asymptote at y = 1 and a vertical asymptote at x = 4?
    Attached Thumbnails Attached Thumbnails Creating Rational Functions out of asymptotes-x-4-y-1-.png  
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