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You can put this solution on YOUR website!
Hello, \r\n" );
document.write( "I don't really understand functions. It has been requested that\r\n" );
document.write( "I draw each transformation or combination of transformation of \r\n" );
document.write( "y = f(x) on each separate axis. \r\n" );
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document.write( "Given f(x) graphed as follows: \r\n" );
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document.write( "(-4,1) (-2,1) (0,2) (1,-1) (2,1) (4,-1) \r\n" );
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document.write( "1. f(x-1) Where do I start? Your help is very much appreciated\r\n" );
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document.write( "The domain of f = {-4, -2, 0, 1, 2, 4}\r\n" );
document.write( "The range of f = {1, 1, 2, -1, 1, -1}\r\n" );
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document.write( "Let g(x) = x-1\r\n" );
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document.write( "Then f(x-1) = f(g(x))\r\n" );
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document.write( "For the transformation to work, the range \r\n" );
document.write( "of g must be the domain of f(x)\r\n" );
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document.write( "So the range of g = {-4, -2, 0, 1, 2, 4}\r\n" );
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document.write( "Now we must find the\r\n" );
document.write( "domain of g defined by g(x) = x-1\r\n" );
document.write( "from its range:\r\n" );
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document.write( "x-1 = -4 implies x = -3\r\n" );
document.write( "x-1 = -2 implies x = -1\r\n" );
document.write( "x-1 = 0 implies x = 1\r\n" );
document.write( "x-1 = 1 implies x = 2\r\n" );
document.write( "x-1 = 2 implies x = 3\r\n" );
document.write( "x-1 = 4 implies x = 5\r\n" );
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document.write( "So the domain of g must be {-3, -1, 1, 2, 3, 5}\r\n" );
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document.write( " g(x)= f(g(x))= \r\n" );
document.write( " x g x-1 f f(x-1)\r\n" );
document.write( "-3 -----> -4 -----> 1\r\n" );
document.write( "-1 -----> -2 -----> 1\r\n" );
document.write( " 1 -----> 0 -----> 2\r\n" );
document.write( " 2 -----> 1 -----> -1\r\n" );
document.write( " 3 -----> 2 -----> 1\r\n" );
document.write( " 5 -----> 4 -----> -1 \r\n" );
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document.write( "So f(x-1) = f(g(x)) = {(-3,1),(-1,1),(1,2),(2,-1),(3,1),(5,-1)}\r\n" );
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document.write( "Now plot those 6 points and you'll have it.\r\n" );
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document.write( "Edwin \n" );
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