What is the domain and range of # y =abs(x+4)#?

1 Answer
Alan P.
Feb 2, 2016

Domain: all Real values (#RR#)
Range: all Real values #>=0# i.e. #[0,+oo)|#

Explanation:

#abs(x+4)# is defined for all Real values of #x# (actually it's defined for all Complex values too)
So the Domain is all Real values.

#abs(x+4)# has a minimum value of #0# (when #x=-4#) has no upper limit on its size
Therefore the Range is #[0,+oo)#

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