SOLUTION: could you please explain this question to me please convert |x|+|y| into piecewise expression for different values of x and y

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Question 888270: could you please explain this question to me please convert |x|+|y| into piecewise expression for different values of x and y
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
f(x,y) = |x|+|y|

There are 4 cases

Case 1. x%3E=0, y%3E=0

Then f(x,y) = |x|+|y| = x+y

Case 2. x%3E=0, y%3C=0

Then f(x,y) = |x|+|y| = x-y

Case 3. x%3C=0, y%3E=0

Then f(x,y) = |x|+|y| = -x+y

Case 4. x%3C=0, y%3C=0

Then f(x) = |x|+|y| = -x-y 


 
Edwin