document.write( "Question 369295: Hi, I have to find the vertical/horizontal asymptotes as well as the y-intercept of the following:\r
\n" ); document.write( "\n" ); document.write( " $\"y=%28x-1%29%2F%282x%5E2%2B5x-3%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Vertical Asymptotes:
\n" ); document.write( " $\"-2x+%2B+1+=+0\"$
\n" ); document.write( " $\"-x-3=0\"$ \r
\n" ); document.write( "\n" ); document.write( "x = $\"1%2F2\"$
\n" ); document.write( "x = $\"-3\"$ \r
\n" ); document.write( "\n" ); document.write( "Horizontal Asymptote:
\n" ); document.write( " $\"x-1=0\"$
\n" ); document.write( "x = $\"1\"$ \r
\n" ); document.write( "\n" ); document.write( "y-intercept:
\n" ); document.write( " $\"%28-1%29%2F%28-3%29\"$
\n" ); document.write( "y = $\"1%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( "I think I've got it, but I just want to check. I've been struggling with these. Thanks so much :)\r
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Algebra.Com's Answer #263199 by Edwin McCravy(20054) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "You're a little mixed up about how to find horizontal asymptotes.\r\n" );
document.write( "You don't set the numerator equal to 0 to find the horizontal\r\n" );
document.write( "asymptote.  Apparently that's what you were thinking.  You need to\r\n" );
document.write( "review how to find horizontal asymptotes.\r\n" );
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document.write( "You found vertical asymptotes OK:\r\n" );
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document.write( "Set denominator = 0\r\n" );
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document.write( "Factor:\r\n" );
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document.write( "  That's the equation of one vertical asymptote\r\n" );
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document.write( "  That's the equation of the other asymptote\r\n" );
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document.write( "Here they are:\r\n" );
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document.write( "Since the largest exponent in the top is smaller than the exponent in the\r\n" );
document.write( "bottom, the x-axis, whose equation is y=0, is the horizontal asymptote:\r\n" );
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document.write( "It's hard to tell what the graph does on the right. It crosses the\r\n" );
document.write( "x-axis at 1, it goes up just a tiny bit (less than one tenth),\r\n" );
document.write( "then it goes back down and approaches the x-axis on the right.\r\n" );
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document.write( "Edwin

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