SOLUTION: Find the domain and range of the function f={(x,x^2/1+x^2):x belongs to R}.

SOLUTION: Find the domain and range of the function f={(x,x^2/1+x^2):x belongs to R}.

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Question 890728: Find the domain and range of the function f={(x,x^2/1+x^2):x belongs to R}.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
Domain : All x, no restrictions.
Since both numerator and denominator are squared, there are no negative values.
The minimum value occurs when and equals .
As approaches ,

.
.
.

.
.
.
So the range is [0,1).

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