document.write( "Question 95507: I NEED MORE SPECIFICS ON HOW TO FIND THE DOMAIN AND RANGE OF THE FOLLOWING FUNCTION:
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document.write( "f(x)=2x-1 \n" );
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Algebra.Com's Answer #69503 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Domain and Range on your problem are both \"all Real Numbers\" because there \n" ); document.write( "is nothing in the rule of the function that restricts x or y. \n" ); document.write( "---------------- \n" ); document.write( "What does restriction look like? \n" ); document.write( "Example: y = 3/(x-2) ; x cannot be 2; domain is : all Real except x=2 \n" ); document.write( "----------- \n" ); document.write( "Example: y = sqrt(x+3): x+3 must be >=0; x must be >=-3 and that is the domain. \n" ); document.write( "------------- \n" ); document.write( "Example: y = log (x-2): x-2 must be >=0; x must be >=2 and that is the domain \n" ); document.write( "--------------- \n" ); document.write( "So, check the denominators; check even-root expressions; check log expressions \n" ); document.write( "when looking for restrictions in the domain. If none of these is present the \n" ); document.write( "domain is \"all Real number\". \n" ); document.write( "------------------- \n" ); document.write( "The Range is something else: \n" ); document.write( "Example: y= x^2 + 4 \n" ); document.write( "Since x^2 is always >= 0 , x^2+4 is always >=4 so the Range is >=4. \n" ); document.write( "====================== \n" ); document.write( "Hope these examples help. \n" ); document.write( "General Rule: Assume the domain is unrestricted unless you can see a reason \n" ); document.write( "to restrict it. \n" ); document.write( "================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |