document.write( "Question 823942: the ordered pairs in the sets shown below are of the form (x,y) in which set of ordered pairs is y a function of x?
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Algebra.Com's Answer #495951 by Edwin McCravy(20060)\"\" \"About 
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document.write( "A function is a set of ordered pairs that has no two ordered \r\n" );
document.write( "pairs with the same FIRST or x-coodinates.\r\n" );
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document.write( "A set of ordered pairs is a function if and only if no \r\n" );
document.write( "x-coordinate is used more than once.\r\n" );
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document.write( "{(1,4),(8,5),(3,8),(7,0)}  is a function because none of the\r\n" );
document.write( "first coordinates (x-coordinates) are the same.\r\n" );
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document.write( "{(1,4),(8,4),(3,4),(7,0)}  is a function because none of the\r\n" );
document.write( "first coordinates (x-coordinates) are the same, even though\r\n" );
document.write( "three of them have the same second coordinates.  It doesn't\r\n" );
document.write( "matter about the 2nd coordinates (the 2nd or y-coordinates). \r\n" );
document.write( "They can be repeated, but the 1st or x-coordinates cannot be\r\n" );
document.write( "repeated.\r\n" );
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document.write( "{(4,7),(8,4),(4,3),(7,0)}  is NOT a function because 4 appears\r\n" );
document.write( "as an x-coordinate in both (4,7) and (4,3).  A first coordinate \r\n" );
document.write( "cannot be repeated like that, but a second coordinate can be \r\n" );
document.write( "repeated.  If any two first coordinates (x-coordinates) are \r\n" );
document.write( "the same in two different ordered  pairs, the set of ordered \r\n" );
document.write( "pairs is not a function.\r\n" );
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document.write( "Edwin
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