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]}