SOLUTION: Graph the relation and state its domain and range. x=y^2-1

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Question 78019: Graph the relation and state its domain and range.
x=y^2-1
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the relation and state its domain and range.
x=y^2-1
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Since y is not in a denominator and y is not in a radical, y can take
any value.
So, Range is All Real Numbers.
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Since y^2 is always >0 zero
y^2-1 must be >=1.
So, Domain is All Real Numbers that are >=1
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To graph, solve for y:
y=sqrt(x+1) OR y=-sqrt(x+1)
graph%28400%2C300%2C-5%2C20%2C-20%2C20%2Csqrt%28x%2B1%29%2C-sqrt%28x%2B1%29%29
Cheers,
Stan H.