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

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Answer 1 · 2017-06-05T12:51:18

Domain; $(- \infty, + \infty)$ $(-oo, +oo)$
Range: $[0, + \infty)$ $[0, +oo)$

$y = | x + 4 |$ $y = abs(x+4)$

$y$ $y$ 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]}

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