document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1054729>Question 1054729</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me determine if this is true or false and why?\r<BR>\n" );
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document.write( "A rational function must have at least one vertical asymptote.\r<BR>\n" );
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document.write( "How come no vertical asymptote exists when an examination might show that there is one? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #669974 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=669974\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Not always.  A rational function may be either simplifyable or not, meaning specifically REDUCIBLE as a fraction, or not.  If reducible, then this could lead to a missing point or hole in the graph.  \r<BR>\n" );
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document.write( "Assuming <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=system%28a%3C%3Eb%2Cb%3C%3Ec%29 ALIGN=MIDDLE  ALT=\"system%28a%3C%3Eb%2Cb%3C%3Ec%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=%28x-a%29%28x-b%29%2F%28x-c%29=%28x%5E2-ax-bx%2Bab%29%2F%28x-c%29 ALIGN=MIDDLE  ALT=\"%28x-a%29%28x-b%29%2F%28x-c%29=%28x%5E2-ax-bx%2Bab%29%2F%28x-c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vertical asymptote for x=c.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x-a%29%28x-b%29%28x-c%29%2F%28x-b%29 ALIGN=MIDDLE  ALT=\"%28x-a%29%28x-b%29%28x-c%29%2F%28x-b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "NO VERTICAL ASYMPTOTE.<BR>\n" );
document.write( "Instead, there is no point in the graph at x=b. </SPAN>\n" );
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