Question #669e8

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Answer 1 · 2017-05-29T16:27:32

The domain is $x in [-4,+oo)$
The range is $y in [0, +oo)$

What's under the square root sign $sqrt$ is $>=0$

$x+4>=0$

Therefore,

$x>=-4$

The domain is $x in [-4, +oo)$

When $x=-4$ , $=>$ , $y=0$

and

when $x=+oo$ , $=>$ , $y+oo$

The range is $y in [0, +oo)$

To visualize it, here is a graph of that equation:
graph{sqrt(x+4) [-6.39, 22.09, -6.66, 7.58]}