document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=115443>Question 115443</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help, I have to turn my homework in today and I am totaly confused witht his question.\r<BR>\n" );
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document.write( "Find the horizontal and vertical asymptote of the following. Type \"none\" if the function does not have an asymptote.\r<BR>\n" );
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document.write( "f(x)= 2x-3/x^2+2\r<BR>\n" );
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document.write( "Horizontal:\r<BR>\n" );
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document.write( "Vertical:\r<BR>\n" );
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document.write( "Thank you in advance for your help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #84028 by </B><A HREF=/tutors/aboutme.mpl?userid=ganesh><B>ganesh(20)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ganesh><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=84028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> General Rule: \r<BR>\n" );
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document.write( "To find the vertical asymptote:\r<BR>\n" );
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document.write( "Find the solutions for the denominator function. That solutions are the vertical asymptote. \r<BR>\n" );
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document.write( "In our problem, denominator is x^2 + 2.\r<BR>\n" );
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document.write( "Consider the equation x^2 + 2 = 0\r<BR>\n" );
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document.write( "We get x^2 = -2\r<BR>\n" );
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document.write( "x = + or - sqrt{-2}\r<BR>\n" );
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document.write( "It has no real solution. ( since we cannot find a real number as the square root of -2)\r<BR>\n" );
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document.write( "So, the rational function does not have any vertical asymtote.\r<BR>\n" );
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document.write( " <BR>\n" );
document.write( "To find the horizontal asymtote: \r<BR>\n" );
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document.write( "Find limit x tending to infinity f(x).\r<BR>\n" );
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document.write( "The limit value is the horizontal asymptote.\r<BR>\n" );
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document.write( "In our problem, Limit x tending to infinity f(x) = 0.\r<BR>\n" );
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document.write( "So, f(x) = y = 0 is the horizontal asymptote.\r<BR>\n" );
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document.write( "Finally, \r<BR>\n" );
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document.write( "Horizontal: y = 0\r<BR>\n" );
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document.write( "Vertical : None. </SPAN>\n" );
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