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

Algebra ->  Algebra  -> Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Graph the relation and state its domain and range. x=y^2-1      Log On

Ad: You enter your algebra equation or inequality - Algebrator solves it step-by-step while providing clear explanations. Free on-line demo .
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


Question 78019: Graph the relation and state its domain and range.
x=y^2-1

Answer by stanbon(48558) 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
----------
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.
---------
Since y^2 is always >0 zero
y^2-1 must be >=1.
So, Domain is All Real Numbers that are >=1
-------------
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.