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How do you write #y=abs(x+2)# as a piecewise function?

Answer 1

Avery Alexander

#y={(x+2," if "x>=-2),(-(x+2)," if " x<-2):}#

#abs("expression") = "expression, proved the expression has a value ">=0#

#abs("expression")= -"expression, when the expression has a value " < 0#

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Answer 2

Genesis Allen

You can write y = |x + 2| as a piecewise function as follows:

y = { x + 2, if x + 2 ≥ 0 -(x + 2), if x + 2 < 0 }

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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