Question

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

Answer 1

No intercepts, since, as x/y `to 0`/`+-oo`, y/x `to +-oo`/0. Asymptotes : `uarr x = 0 darr and larr y=0 rarr`. 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]}