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What do you understand by asymptote and what are the asymptote for the function xy equals 1?

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Relevant answers:

Is it possible for a function that has a horizontal asymptote to attain the value of an asymptote?
Yes. Think of a function that starts at the origin, increases rapidly at first and then decays gradually to an asymptotic value of 0. It will have attained its asymptotic value at the start.For...
What is the property for xy equals 1 xy?
That is the commutative property of equality.
An asymptote is a line that the graph of a function?
approaches but does not cross
Does every rational function have an asymptote?
No if the denominators cancel each other out there is no asymptote
How can the asymptote and the zero of an equation be equal?
You can have asymptotes in the x or y direction.The function y = e-x goes to zero as x goes to infinity. So the root (when x = 0) is only "reached" asymptotically.