document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=690021>Question 690021</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have to solve this problem for school. Please help\r<BR>\n" );
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document.write( "Graph this rational function: \r<BR>\n" );
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document.write( "T(w)= w^2+2w+4/w-1<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426127 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=426127\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> w-1 = 0\r<BR>\n" );
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document.write( "w = 1\r<BR>\n" );
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document.write( "So the vertical asymptote is w = 1\r<BR>\n" );
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document.write( "Plug in w = 0 to get (w^2+2w+4)/(w-1) = ((0)^2+2(0)+4)/(0-1) = -4.\r<BR>\n" );
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document.write( "So the y-intercept is (0,-4)\r<BR>\n" );
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document.write( "Since the discriminant of w^2+2w+4 is negative, there are no real solutions, which means that there are no x-intercepts.\r<BR>\n" );
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document.write( "Use polynomial long division to get the quotient w+3. So the oblique asymptote is y = x+3\r<BR>\n" );
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document.write( "So what we have is this\r<BR>\n" );
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document.write( "Note: The blue vertical line should be a dashed line since it's the vertical asymptote. The blue diagonal line should be a dashed line since it's the oblique asymptote.<BR>\n" );
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