SOLUTION: could you please explain: write y=|x-5|+|x+5| as a piecewise function

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Question 889099: could you please explain: write y=|x-5|+|x+5| as a piecewise function
Answer by josgarithmetic(39623)   (Show Source): You can put this solution on YOUR website!
y=|x-5|+|x+5|
Four conditions to use.

and . Also means x>=5 and x>=-5 which means .

.

and . Also means x<5 and x>=-5 or .

.

and . This is x>=-5 and x<5 or .


. You canNOT add absolute values to result in a negative value. This condition
therefore makes no sense.

and . Means x<5 and x<-5, equivalent to .




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