document.write( "Question 890728: Find the domain and range of the function f={(x,x^2/1+x^2):x belongs to R}. \n" ); document.write( "

Algebra.Com's Answer #539377 by Fombitz(32388) $\"\"$ $\"About$

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\n" ); document.write( "Since both numerator and denominator are squared, there are no negative values.
\n" ); document.write( "The minimum value occurs when $\"x=0\"$ and equals $\"0\"$ .
\n" ); document.write( "As $\"x\"$ approaches $\"infinity\"$ ,
\n" ); document.write( " $\"lim%28x-%3Einfinity%2Cf=1%2F%281%2Fx%5E2%2B1%29=1%2F%289%2B1%29=1%29\"$
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\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2Cx%5E2%2F%281%2Bx%5E2%29%29\"$
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\n" ); document.write( "So the range is [0,1).
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