document.write( "Question 1120017: Could someone please walk me through how to do this. It is a question from my test prep of advanced functions. \r
\n" ); document.write( "\n" ); document.write( "How do I determine the equation of the function that would model this data?\r
\n" ); document.write( "\n" ); document.write( "x 1,2,3,4,5,6
\n" ); document.write( "f(x) 0,3,16,45,96,175\r
\n" ); document.write( "\n" ); document.write( "Any help would be so appreciated!!! \n" ); document.write( "

Algebra.Com's Answer #735700 by ikleyn(52778) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "I became interesting what will happen if I solve the system of equations derived by @solver91311\r\n" );
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document.write( "  . = \r\n" );
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document.write( "Will I get the answer obtained by @greenestamps ?\r\n" );
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document.write( "So, I used an online solver  http://matrix.reshish.com/gauss-jordanElimination.php , which employs the Gauss-Jordan elimination.\r\n" );
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document.write( "I filled the extended matrix and clicked the \"Solve\" button. \r\n" );
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document.write( "Below is what I got:\r\n" );
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document.write( "A =  0\r\n" );
document.write( "B =  0\r\n" );
document.write( "C =  1\r\n" );
document.write( "D = -1\r\n" );
document.write( "E = -1\r\n" );
document.write( "F =  1\r\n" );
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document.write( "- exactly and precisely what @greenestamps  got.\r\n" );
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document.write( "So, both methods produce the same solution.\r\n" );
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document.write( "If to think one more minute, then it becomes clear that it can not be in other way,\r\n" );
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document.write( "because the matrix of the system is NON-SINGULAR (is NOT DEGENERATED) and allows ONLY ONE SOLUTION.\r\n" );
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