document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=912014>Question 912014</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to get the x- and y-intercept and the horizontal and vertical asymptote(s) of these rational functions?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%2820x%28x%2B36%29%29%2F%28x-18%29%28x-1%29 ALIGN=MIDDLE  ALT=\"y+=+%2820x%28x%2B36%29%29%2F%28x-18%29%28x-1%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=y+=+1%2F%28x%2B2%29+%2B3 ALIGN=MIDDLE  ALT=\"y+=+1%2F%28x%2B2%29+%2B3\"   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=y+=+1%2F%28x-2%29 ALIGN=MIDDLE  ALT=\"y+=+1%2F%28x-2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Please explain,<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #553498 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</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=553498\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Help here is just for the first equation.\r<BR>\n" );
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document.write( "The x intercepts are for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20x%28x%2B36%29=0 ALIGN=MIDDLE  ALT=\"20x%28x%2B36%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%28x%2B36%29=0 ALIGN=MIDDLE  ALT=\"x%28x%2B36%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=0%29 ALIGN=MIDDLE  ALT=\"highlight%28x=0%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=-36%29 ALIGN=MIDDLE  ALT=\"highlight%28x=-36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "y axis intercept goes through the <b>origin</b>, as you can find when x=0.\r<BR>\n" );
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document.write( "Horizontal Asymptote:  Degree of numerator and denominator are 2; so at either unbounded extreme, y approaches 20.  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28y=20%29 ALIGN=MIDDLE  ALT=\"highlight%28y=20%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the horizontal asymptote.\r<BR>\n" );
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document.write( "Vertical Asymptotes:   The denominator shows y is undefined for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=18%29 ALIGN=MIDDLE  ALT=\"highlight%28x=18%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28x=1%29 ALIGN=MIDDLE  ALT=\"highlight%28x=1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; and these are not represented as factors in the numerator, so they are the vertical asymptotes. </SPAN>\n" );
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