# How do you graph y=10/x using asymptotes, intercepts, end behavior?

Feb 19, 2017

Asymptotes : $x y = 0$. No intercepts at all. See Socratic asymptotes-inclusive graph.

#### Explanation:

graph{(x+.001y)(y-.001x)(xy-10)=0 [-20, 20, -10, 10]}

$x y = 10$ represents a rectangular hyperbola, with the pair of axes

$x y = 10$ as asymptotes , without any intercepts at all.

As $x \to \pm \infty , y \to \pm \infty$.