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Thread: Creating Rational Functions and Holes

  1. #1
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    Creating Rational Functions and Holes

    We are graphing on Desmos and I am confused on how to do these questions and create holes for them.

    1. Identify a rational function whose graph lies entirely above the x-axis and has a single vertical asymptote. Graph the above function.

    2. Identify a rational function whose graph has the horizontal asymptote y=2 and two vertical asymptotes. Graph the function.

    Could anyone please help me out with these questions? Thanks!
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  2. #2
    MHF Contributor
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    Re: Creating Rational Functions and Holes

    1) $f(x) = \dfrac{1}{|x|}$ has a single vertical asymptote at $x=0$

    2) $f(x) = 2+\left(\dfrac{1}{x-2}+\dfrac{1}{x+2}\right)$
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