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How do you write #y = |x+5|# as a piecewise function?

1 Answer

Shwetank Mauria

Jun 11, 2016

#|x+5|=x+5# if #x>=-5# and

#|x+5|=-x-5# if #x<-5#

Explanation:

#|a|# is a split function as

#|a|=a# if #a>=0# and #|a|=-a# if #a<0#

Similarly, we can write #y=|x+5|# as

#|x+5|=x+5# if #x+5>=0# i.e. #x>=-5# and

#|x+5|=-x-5# if #x+5<0# i.e. #x<-5#

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