What is the domain and range of #y=|x+13|#?

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Answer 1 · 2017-07-18T01:48:59

Domain: #(-oo,+oo)#
Range: #[0,+oo)#

#y=abs(x+13)#

#y# is defined #forall x in RR#

Hence the domain of #y# is #(-oo,+oo)#

#y>=0 forall x in RR#

#y# has no finite upper bound

#y_min =0# at #x=-13#

Hence the range of #y# is #[0,+oo)#

This can be seen by the graph of #y# below.

graph{abs(x+13) [-81.2, 50.45, -32.64, 33.26]}