SOLUTION: Graph. Find the domain and range of each function. Show me step by step please. y=-sqrt(x+3)-1

Algebra ->  Radicals -> SOLUTION: Graph. Find the domain and range of each function. Show me step by step please. y=-sqrt(x+3)-1      Log On


   



Question 393786: Graph. Find the domain and range of each function. Show me step by step please.
y=-sqrt(x+3)-1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the domain and range of each function. Show me step by step please.
y=-sqrt(x+3)-1
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Domain:
x+3 cannot be negative.
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Solve: x+3>=0
x >= -3
That is the Domain.
===========================
Range:
sqrt(x+3) is always >= zero
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So, -sqrt(x+3) is always <= 0
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Therefore y <= -1
That is the Range.
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Graph:
graph%28400%2C300%2C-10%2C20%2C-5%2C5%2C-%28x%2B3%29%5E%281%2F2%29-1%29
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Cheers,
Stan H.