document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=625809>Question 625809</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Describe the vertical asymptote(s) and hole(s) for the graph of \r<BR>\n" );
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document.write( "y = (x - 3)(x - 1)/(x - 1)(x - 5)\r<BR>\n" );
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document.write( "A. asymptote: x = 5 and hole: x = 1  <BR>\n" );
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document.write( "B. asymptote: x = –5 and hole: x = –1  <BR>\n" );
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document.write( "C. asymptote: x = –3 and hole: x = 5  <BR>\n" );
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document.write( "D. asymptote: x = 5 and hole: x = –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 #393798 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=393798\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Describe the vertical asymptote(s) and hole(s) for the graph of <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y+=+%28x+-+3%29%28x+-+1%29%2F%28x+-+1%29%28x+-+5%29 ALIGN=MIDDLE  ALT=\"y+=+%28x+-+3%29%28x+-+1%29%2F%28x+-+1%29%28x+-+5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(x-1) cancels out, leaving the graph of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28x-3%29%2F%28x-5%29 ALIGN=MIDDLE  ALT=\"+%28x-3%29%2F%28x-5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "The asymptote for this graph is x=5, at which point the curve is undefined.<BR>\n" );
document.write( "Also a hole occurs at x=1 which means x=1 is not in the domain of y.<BR>\n" );
document.write( "So you have an asymptote at x=5 and a hole at x=1<BR>\n" );
document.write( "see graph below as a visual check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x-3%29%2F%28x-5%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+%28x-3%29%2F%28x-5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  </SPAN>\n" );
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