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

1 Answer
Jul 18, 2017

Answer:

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

Explanation:

#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]}