document.write( "Question 192141: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
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document.write( "y= -2(x-8)/(8-x)\r
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document.write( "I have tried a couple different things, but I am not sure if any of them are correct.\r
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document.write( "First attempt:
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document.write( "There would be a vertical asymptote at x=8.
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document.write( "There would be a horizontal asymptote at y=-2.\r
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document.write( "Second attempt:
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document.write( "There would be a hole at (8,2)\r
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document.write( "Third attempt:
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document.write( "There would vertical asymptote at x=8.
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document.write( "There would be a horizontal asymptote at y=2.\r
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document.write( "I am extremely confused any help would be greatly appreciated! \n" );
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Algebra.Com's Answer #144190 by RAY100(1637)![]() ![]() ![]() You can put this solution on YOUR website! good work\r \n" ); document.write( "\n" ); document.write( "an easier approach might be \r \n" ); document.write( "\n" ); document.write( "y=-2(x-8)/(8-x)\r \n" ); document.write( "\n" ); document.write( "simplify to\r \n" ); document.write( "\n" ); document.write( "y= 2(x-8) / (x-8)\r \n" ); document.write( "\n" ); document.write( "cancelling (x-8) 's gives us y=+2 but with a hole at x=8\r \n" ); document.write( "\n" ); document.write( "no vertical asymptotes ( ie den =0)\r \n" ); document.write( "\n" ); document.write( "no real horizontal asymptotes except y does always =2\r \n" ); document.write( "\n" ); document.write( "review of horiz asymptotes, y = a(n)x^n +..... / b(m) x^m +.....\r \n" ); document.write( "\n" ); document.write( "if n less than m, hor asy at y=0\r \n" ); document.write( "\n" ); document.write( "if n=m, hor asy at y=a(n)/b(m)\r \n" ); document.write( "\n" ); document.write( "and if n>m, no hor asy \n" ); document.write( " |