document.write( "Question 815207: Find the function rule.\r
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\n" ); document.write( " f(x)| 10| 5| 2| 1| 2| 5| 10\r
\n" ); document.write( "\n" ); document.write( "2. x| -6| -4| -2| 0| 2| 4| 6
\n" ); document.write( "f(x)| 71| 31| 7|-1| 7| 31| 71 \n" ); document.write( "
Algebra.Com's Answer #490791 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Find the function rule.\r\n" );
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document.write( "1.  x| -3| -2| -1| 0| 1| 2|  3\r\n" );
document.write( " f(x)| 10|  5|  2| 1| 2| 5| 10\r\n" );
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document.write( "Let's compare f(x) to x²\r\n" );
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document.write( "1.  x| -3| -2| -1| 0| 1| 2|  3\r\n" );
document.write( "   x²|  9|  4|  1| 0} 1| 4|  9\r\n" );
document.write( " f(x)| 10|  5|  2| 1| 2| 5| 10\r\n" );
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document.write( "Each value of f(x) is 1 more than the square of x,\r\n" );
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document.write( "So f(x) = x²+1\r\n" );
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document.write( "2. x| -6| -4| -2| 0| 2|  4|  6\r\n" );
document.write( "f(x)| 71| 31|  7|-1| 7| 31| 71\r\n" );
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document.write( "Let's also compare this one to x²\r\n" );
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document.write( "2. x| -6| -4| -2| 0| 2|  4|  6\r\n" );
document.write( "  x²| 36| 16|  4| 0} 4| 16| 36\r\n" );
document.write( "f(x)| 71| 31|  7|-1| 7| 31| 71\r\n" );
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document.write( "That compares to 2x²\r\n" );
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document.write( "2. x| -6| -4| -2| 0| 2|  4|  6\r\n" );
document.write( "  x²| 36| 16|  4| 0} 4| 16| 36\r\n" );
document.write( " 2x²| 72| 32|  8| 0} 8| 32| 72\r\n" );
document.write( "f(x)| 71| 31|  7|-1| 7| 31| 71\r\n" );
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document.write( "Each value of f(x) is 1 less than twice the square of x,\r\n" );
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document.write( "So f(x) = 2x²-1\r\n" );
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document.write( "Edwin
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