document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=5747>Question 5747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Identify any intercepts and asymptotes of the following:<BR>\n" );
document.write( "f(x)= 2x-1/x-5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #2982 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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/cgi-bin/show-face.mpl?user=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=2982\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, know the general shape of this type of equation. This helps you.\r<BR>\n" );
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document.write( "ASYMPTOTES:<BR>\n" );
document.write( "when x=5, denominator is zero --> asymptote 1.\r<BR>\n" );
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document.write( "Re-arrange the equation to give x = equation in y. This denominator then will show that y cannot be 2... second asymptote.\r<BR>\n" );
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document.write( "When x = 0, y=?\r<BR>\n" );
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document.write( "When y = 0, x=? (just less than 2\r<BR>\n" );
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document.write( "When x is HUGELY +ve, what happens to (2x-1)/(x-5)? well, we can ignore the -1 and -5 --> 2x/x so it tends towards +2.<BR>\n" );
document.write( "When x is HUGELY -ve, what happens to (2x-1)/(x-5)? well, we can ignore the -1 and -5 --> -2x/-x so it tends towards +2 again.\r<BR>\n" );
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document.write( "--> these 2 confirm the asymptotes.\r<BR>\n" );
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document.write( "Sketch the graph now.\r<BR>\n" );
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document.write( "jon. </SPAN>\n" );
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