document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=959496>Question 959496</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would I go about figuring out the graph to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+R%28x%29+=+8+-+%283%2F%282x%2B4%29%29++ ALIGN=MIDDLE  ALT=\"+R%28x%29+=+8+-+%283%2F%282x%2B4%29%29++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586476 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=586476\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Undefined for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-2 ALIGN=MIDDLE  ALT=\"x=-2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so that will be a horizontal asymptote.\r<BR>\n" );
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document.write( "Form into a single rational expression and look to see if any roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%282x%2B4%29-3%29%2F%282x%2B4%29 ALIGN=MIDDLE  ALT=\"%288%282x%2B4%29-3%29%2F%282x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, excuse for combining steps.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816x%2B32-3%29%2F%282x%2B4%29 ALIGN=MIDDLE  ALT=\"%2816x%2B32-3%29%2F%282x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816x%2B29%29%2F%282x%2B4%29 ALIGN=MIDDLE  ALT=\"%2816x%2B29%29%2F%282x%2B4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "A root at  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16x=-29 ALIGN=MIDDLE  ALT=\"16x=-29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-29%2F16 ALIGN=MIDDLE  ALT=\"x=-29%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Notice numerator and denominator are of equal degree.  Think about what happens for x unbounded to the left and to the right.....<BR>\n" );
document.write( ".... HORIZONTAL asymptote will be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=%2816x%29%2F%282x%29=8 ALIGN=MIDDLE  ALT=\"y=%2816x%29%2F%282x%29=8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "How to graph:<BR>\n" );
document.write( "Root at x=-29/16;<BR>\n" );
document.write( "Vertical asymptote x=-2;<BR>\n" );
document.write( "Horizontal asymptote y=8.<BR>\n" );
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document.write( "Check signs around the critical x values of -2 and -29/16.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28300%2C300%2C-8%2C2%2C-5%2C15%2C8-%283%2F%282x%2B4%29%29%29 ALIGN=MIDDLE  ALT=\"graph%28300%2C300%2C-8%2C2%2C-5%2C15%2C8-%283%2F%282x%2B4%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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