document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=132453>Question 132453</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Discuss completely (as in the textbook) and draw the graphs of the following rational functions.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2x%5E3%2B6x%29%2F%282x%5E2-6x%29%29 ALIGN=MIDDLE  ALT=\"y=%28-2x%5E3%2B6x%29%2F%282x%5E2-6x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #96819 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=96819\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%28-2x%5E3%2B6x%29%2F%282x%5E2-6x%29%29 ALIGN=MIDDLE  ALT=\"y=%28-2x%5E3%2B6x%29%2F%282x%5E2-6x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "when x=3 then the denominator=0<BR>\n" );
document.write( "So, 3 is the vertical asymptote.<BR>\n" );
document.write( "The domain is all real numbers except x=3 and x=0 <BR>\n" );
document.write( "Since the numerator is 1 degree larger than the denominator there is no horizontal asymptote but a slant asymptote.<BR>\n" );
document.write( "It is -x-3 found by doing long division on the numerator by the denominator.<BR>\n" );
document.write( "The almost vertical line is an artifact and not an asymptote.<BR>\n" );
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document.write( "Ed<BR>\n" );
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