# What are the asymptotes of #y=1/x-2# and how do you graph the function?

##### 1 Answer

The most useful thing when trying to draw graphs is to test the zeroes of the function to get some points that can guide your sketch.

Consider

Since

Consider

So we have identified a point that the graph passes through:

Another extreme point we can consider is

So we have found out the following:

Vertical asymptote at

Horizontal asymptote at

Point contained in graph:

graph{1/x -2 [-10, 10, -5, 5]} You should notice that all three of these facts provide enough information to draw the graph above.