document.write( "Question 428031: QUESTION: Given the following inputs and corresponding outputs, is the relation a function? Justify your reasoning.
\n" ); document.write( "Inputs: {1, 1, 2, 3}


\n" ); document.write( "Outputs: {3, -3, 4, 4} \n" ); document.write( "

Algebra.Com's Answer #297573 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
it's a relation.\r
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\n" ); document.write( "\n" ); document.write( "in order for it to be a function there can only be 1 output for each and every input.\r
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\n" ); document.write( "\n" ); document.write( "only one instance of multiple outputs for an input makes it a relation.\r
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\n" ); document.write( "\n" ); document.write( "your dataset provides the following mapping:\r
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document.write( "      input  output\r\n" );
document.write( "        1       3\r\n" );
document.write( "        1      -3\r\n" );
document.write( "        2       4\r\n" );
document.write( "        3       4\r\n" );
document.write( "
\r
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\n" ); document.write( "\n" ); document.write( "the 2 mapping to 4 and the 3 mapping to 4 are ok for a function because there is only one output for each of the inputs.\r
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\n" ); document.write( "\n" ); document.write( "the 1 mapping to 3 and -3 is what causes this to be a relation rather than a function because you have more than 1 output for the same input.\r
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