document.write( "Question 679800: {(1/3,2),(-2,2/9),(o,2),(-1/2,2/9),(-2,2)} is this a relation a function ornot? explain \n" ); document.write( "
Algebra.Com's Answer #422062 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "Each member of a relation is an ordered pairs, consisting of\r\n" ); document.write( "\r\n" ); document.write( "1. A left parenthesis, followed by\r\n" ); document.write( "2. A number, called \"the input\", followed by\r\n" ); document.write( "3. A comma, followed by\r\n" ); document.write( "4. Another number, called \"the output\", followed by\r\n" ); document.write( "5. A right parenthesis.\r\n" ); document.write( "\r\n" ); document.write( "{(1/3,2),(-2,2/9),(o,2),(-1/2,2/9),(-2,2)}\r\n" ); document.write( "\r\n" ); document.write( "The inputs are: 1/3, -2, 0, -1/2, -2\r\n" ); document.write( "\r\n" ); document.write( "The outputs are: 2, 2/9, 2, 2/9, 2\r\n" ); document.write( "\r\n" ); document.write( "How to determine if this relation is a function or not:\r\n" ); document.write( "\r\n" ); document.write( "Simply answer this question: Does each input have exactly\r\n" ); document.write( "one output, and no more?\r\n" ); document.write( "\r\n" ); document.write( "If the answer is \"yes\", then the relation is a function. \r\n" ); document.write( "If the answer is \"no\", then the relation is not a function.\r\n" ); document.write( "\r\n" ); document.write( "The answer is \"no\" for the given relation because these\r\n" ); document.write( "two ordered pairs:\r\n" ); document.write( "\r\n" ); document.write( "(-2,2/9) and (-2,2)\r\n" ); document.write( "\r\n" ); document.write( "have the same input, -2, but different outputs, 2/9 and 2.\r\n" ); document.write( "\r\n" ); document.write( "Therefore the given relation is not a function. \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |