document.write( "Question 1028199: X+y2(squared)=4\r
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document.write( "Determine whether y is a function of x \n" );
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Algebra.Com's Answer #643339 by Theo(13342)![]() ![]() You can put this solution on YOUR website! y is not a function of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "start with x + y^2 = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract x from both sides of the equation to get y^2 = 4-x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "take the square root of both sides of the equation to get y = plus or minus sqrt(4-x).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are getting 2 values of y for every value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means that y is not a function of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in order for it to be a function, you must get one and only one value of y for each and every value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |