Question

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

Answer 1

Asymptotes : `xy=0`. No intercepts at all. See Socratic asymptotes-inclusive graph.

Explanation:

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

`xy=10` represents a rectangular hyperbola, with the pair of axes

`xy=10` as asymptotes , without any intercepts at all.

As `x to +-oo, y to+-oo`.