SOLUTION: HELP! MY HW SAYS TO DETERMINE THE DOMAIN AND RANGE FOR A PROBLEM THAT LOOKS LIKE THIS: {(x,y) | x =2 } {(x,y) | x^2y =16 } {(x,y) | y= = |x| + 2 } I MEAN I DONT GET IT. W

Algebra ->  Functions -> SOLUTION: HELP! MY HW SAYS TO DETERMINE THE DOMAIN AND RANGE FOR A PROBLEM THAT LOOKS LIKE THIS: {(x,y) | x =2 } {(x,y) | x^2y =16 } {(x,y) | y= = |x| + 2 } I MEAN I DONT GET IT. W      Log On


   



Question 890138: HELP! MY HW SAYS TO DETERMINE THE DOMAIN AND RANGE FOR A PROBLEM THAT LOOKS LIKE THIS:
{(x,y) | x =2 }
{(x,y) | x^2y =16 }
{(x,y) | y= = |x| + 2 }
I MEAN I DONT GET IT. WHAT DOES THAT MEAN?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
DETERMINE THE DOMAIN AND RANGE FOR A PROBLEM THAT LOOKS LIKE THIS:
Domain is the set of values x can have.
Range is the set of values y can have.
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{(x,y) | x =2 }
Domain:: x = 2
Range:: All Real Numbers
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{(x,y) | x^2y =16 }
y = 16/x^2
Domain:: All Real Numbers except x = 0
Range:: Since x^2 is never negative,
y is all Real Numbers greater than zero.
-----------------------------------
{(x,y) | y= = |x| + 2 }
Domain: All Real Numbers.
Range:: Since |x| is never negative,
y is all Real Numbers greater than or equal to 2.
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Cheers,
Stan H.
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