document.write( "Question 111547: what are 2 functions for the following equation:\r
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Algebra.Com's Answer #81508 by Edwin McCravy(20065)\"\" \"About 
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what are 2 functions for the following equation:
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document.write( "This is the equation of this ellipse:\r\n" );
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document.write( "An ellipse is NOT a function because it does not pass the\r\n" );
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document.write( "However the upper half of the ellipse is a function:\r\n" );
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document.write( "Also the lower half of the ellipse is a function:\r\n" );
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document.write( "To find these two functions we solve the equation for y:\r\n" );
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document.write( "\"%28%28x%2B1%29%2F10%29%5E2+%2B+%28y%2F5%29%5E2+=+1\"\r\n" );
document.write( "\"%28x%2B1%29%5E2%2F10%5E2+%2B+y%5E2%2F5%5E2+=+1\"\r\n" );
document.write( "\"%28x%2B1%29%5E2%2F100+%2B+y%5E2%2F25+=+1\"\r\n" );
document.write( "Multiply through by LCD = 100\r\n" );
document.write( "\"%28x%2B1%29%5E2+%2B+4y%5E2+=+100\"\r\n" );
document.write( "\"4y%5E2+=+100-%28x%2B1%29%5E2\"\r\n" );
document.write( "\"4y%5E2+=+100-%28x%5E2%2B2x%2B1%29\"\r\n" );
document.write( "\"4y%5E2+=+100-x%5E2-2x-1\"\r\n" );
document.write( "\"4y%5E2+=+99-x%5E2-2x\"\r\n" );
document.write( "\"y%5E2+=+%2899-x%5E2-2x%29%2F4\"\r\n" );
document.write( "\"y\" = ±\"sqrt%2899-x%5E2-2x%29%2F2\"\r\n" );
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document.write( "When we use the positive sign we get the\r\n" );
document.write( "functional equation\r\n" );
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document.write( "\"y\" = \"sqrt%2899-x%5E2-2x%29%2F2\"\r\n" );
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document.write( "which is the equation of the top half of\r\n" );
document.write( "the ellipse.\r\n" );
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document.write( "When we use the negative sign we get the\r\n" );
document.write( "functional equation\r\n" );
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document.write( "\"y\" = \"-sqrt%2899-x%5E2-2x%29%2F2\"\r\n" );
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document.write( "which is the equation of the bottom half of\r\n" );
document.write( "the ellipse.\r\n" );
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document.write( "Edwin
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