document.write( "Question 557319: the domain of the function sqrt of x(x-2)=
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document.write( "must be written in interval notation \n" );
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Algebra.Com's Answer #362556 by stanbon(75887) ![]() You can put this solution on YOUR website! the domain of the function sqrt of x(x-2)= \n" ); document.write( "must be written in interval notation \n" ); document.write( "---- \n" ); document.write( "y = sqrt(x(x-2)) \n" ); document.write( "----- \n" ); document.write( "The radicand cannot be negative: \n" ); document.write( "Solve x(x-2) >= 0 \n" ); document.write( "------ \n" ); document.write( "Solve the equality: \n" ); document.write( "x = 0 or x = 2 \n" ); document.write( "----- \n" ); document.write( "Solve the inequality: \n" ); document.write( "Draw a number line. \n" ); document.write( "Plot x = 0 and x = 2 on the line \n" ); document.write( "------ \n" ); document.write( "Test a value in each of the intervals to find the solution set \n" ); document.write( "for x(x-2) > 0 \n" ); document.write( "Test x = -10 to get: -*- > 0 ; true, so solutions in (-oo,0) \n" ); document.write( "Test x = 1 to get: +*- > 0 ; false \n" ); document.write( "Test x = 10 to get: +*+ > 0 ; true, so solutions in (2,+oo) \n" ); document.write( "================================================================ \n" ); document.write( "Domain: (-oo,0) U (2, +oo) \n" ); document.write( "--------------------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "===============\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "========================================== \n" ); document.write( " |