How do you graph y=-6/xy=6x using asymptotes, intercepts, end behavior?

1 Answer
Jan 16, 2017

No intercepts, since, as x/y to 00/+-oo±, y/x to +-oo±/0. Asymptotes : uarr x = 0 darr and larr y=0 rarrx=0andy=0. See these features in the graph.

Explanation:

This is xy=-6 representing the rectangular hyperbola, with center at

O and asymptotes as the axes of coordinates xy =0.

graph{(y+6/x)(x+.001)(x-.01)(y)=0 [-20, 20, -10, 10]}