How do you find the domain and range of #y=abs(x+4)#?

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Answer 1 · 2017-06-05T12:51:18

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

#y = abs(x+4)#

#y# is defined #forall x in RR#

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

#y >= 0 forall x in RR#

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

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

graph{abs(x+4) [-14.16, 11.16, -3.82, 8.84]}