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]}

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