document.write( "Question 103943This question is from textbook intermediate algebra
\n" ); document.write( ": Find the domain and the range after graphing: y= x2 - 1\r
\n" ); document.write( "\n" ); document.write( "I am not understanding the process in which you find the domain and the range.
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Algebra.Com's Answer #75623 by stanbon(75887)\"\" \"About 
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Find the domain and the range after graphing: y= x^2 - 1 \r
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\n" ); document.write( "Domain:
\n" ); document.write( "Start with the assumption that the domain is \"all Real Numbers\".
\n" ); document.write( "Then look at your equation to see if certain forms there restrict
\n" ); document.write( "the values of \"x\":
\n" ); document.write( "Examples:
\n" ); document.write( " 1/(x-2) which means x cannot \"2\"
\n" ); document.write( " sqrt(x-2) which requires that x be >=2
\n" ); document.write( " log(x-2) which requires that x be >=2
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\n" ); document.write( "Your problem:
\n" ); document.write( "None of these restrictions are present so the domain is \"All Real Numbers\".
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\n" ); document.write( "Range:
\n" ); document.write( "Your problem:
\n" ); document.write( "y=x^2-1
\n" ); document.write( "For all Real numbers, x^2 is >=0
\n" ); document.write( "So for x^2-1, y will be >=-1
\n" ); document.write( "So the range is \"All Real Numbers >=-1\"
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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