Can a function have a vertical asymptote?

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Answer 1 · 2018-05-16T11:39:42

Yes.

A function can have a vertical asymptote,

One such function is #a/x#, where #a# is a constant.

When #a=1#,

graph{1/x [-10, 10, -5, 5]}

When #a=-1#,

graph{-1/x [-10, 10, -5, 5]}

In both cases, the graph does not intersect the y-axis, which is a vertical line, making the y-axis an asymptote of #a/x#.