SOLUTION: graph each relation: |x|+|y|=2 |xy|=6 x|y|=4 |x|y=10

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Question 353526: graph each relation:
|x|+|y|=2
|xy|=6
x|y|=4
|x|y=10
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1. Solve the equation in each quadrant.
QI: x%3E0 abs%28x%29=x
y%3E0 abs%28y%29=y
x%2By=2
y=-x%2B2
QII: x%3C0 abs%28x%29=-x
y%3E0 abs%28y%29=y
-x%2By=2
y=x%2B2
QIII: x%3C0 abs%28x%29=-x
y%3C0 abs%28y%29=-y
-x-y=2
y=-x-2
QIII: x%3E0 abs%28x%29=x
y%3C0 abs%28y%29=-y
x-y=2
y=x-2
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Graph it but remember you can only graph quadrant by quadrant.

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2. xy=6 and -xy=6
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3. x%2Aabs%28y%29=4
Since abs%28y%29 is always positive, the function will only exist for x%3E0 since x%3C0 would give a negative value.

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4. In this case, the function only provides positive y values.
abs%28x%29%2Ay=10
y=10%2Fabs%28x%29