SOLUTION: What is Inverse Variation and how do you begin to graph the equation for an inverse variation?

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Question 105589: What is Inverse Variation and how do you begin to graph the equation for an inverse variation?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The statement "y varies inversely as x means that when x increases, y+decreases by the same factor.
In other words, the expression xy is constant:
xy+=+k
where k is the constant of variation.
We can also express the relationship between x and y as:
y+=+k%2Fx where k is the constant of variation.

Unlike the graph of direct variation, the graph of inverse variation is not+linear. Rather, it is a hyperbola.
To graph an inverse variation, make a data table and plot points. Then connect the points with a smooth (not straight) curve. There should be two curves -- one in the first quadrant (where both x and y are positive) and one in the third quadrant (where both x and y are negative).