On many calculators, graphs of rational functions produce lines at vertical asymptotes. For example, graphing y=x−1x+1 on the window [-4.9, 4.9] by [-4.9, 4.9] produces such a line at x=-1 on the TI-84 Plus and TI-89. But with the window [-4.7, 4.7] by [-4.7, 4.7] on a TI-84 Plus, or [-7.9, 7.9] by [-7.9, 7.9] on a TI-89, the spurious line does not appear. Experiment with this function on your calculator, trying different windows, and try to figure out an explanation for this phenomenon.

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hesgidiauE · Accepted Answer

Experiment with your calculator. Since we are using online graphing tools, like Desmos, Geogebra etc., they do not show the asymptote line by defualt, but you can graph it separataly on the same screen.

On many calculators, graphs of rational functions produce lines at vertical asymptotes.For example, graphing y=(x-1)/(x+1)

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