Chapter 11.6, Problem 17P

Graph the equations $xy=4andxy=-4$.

How are the graphs of $xy=4andxy=-4$ alike? How are they different?

To determine

To graph : the equation and how are they different

Explanation of Solution

Given information : the equation $xy=4 \& xy=-4$

Graph :

The graph will be

  

Interpretation :

From the above graph the similarities and difference are as follows:

Similarity:

Both have two unconnected parts

As they move away from the origin, the graphs approach the x-axis and y-axis without actually intersecting them

Difference:

The two parts of $xy=4$ are on quadrant 1 & 3 while the two parts of $xy=-4$ are on quadrant 2 & 4