SOLUTION: Enumerate all the possible quadrants or axes containing a point satisfying the condition xy=0 ? xy=-1? ==== for xy=0, i know that at least one of these would have to be equal to

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Question 634547: Enumerate all the possible quadrants or axes containing a point satisfying the condition xy=0 ? xy=-1?
====
for xy=0, i know that at least one of these would have to be equal to zero.
so if x=0, then it could be anywhere on the y-axis.
if y=0, it could be anywhere on the x-axis.
if x and y=0, then it would be on the origin.
So how am I supposed to phrase that, in particular?
xy=-1 works the same way. one has to be 1, the other -1.
Also: theoretically, if x<0, it could be in either quadrants 2 and 3. should i include "negative x-axis"?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
The graph of xy = 0 by the 0 factor principle is equivalent

to the combined graphs of x = 0 and y = 0.  These are the two axes.

So the graph is all the points on the x or y-axes.

----------------------------------------

The graph of xy = -1 is the graph of y = , which is
this hyperbola:



All the points on this graph are in the 2nd and 4th quadrants.

Edwin
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