document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1104806>Question 1104806</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give an example of a rational function that fulfills the description.\r<BR>\n" );
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document.write( "a. A rational function that has a vertical asymptote at -5 and a hole at 7.<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 #719544 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=719544\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the rational function is (x-7) * (x^2 + 3) /((x - 7) * (x+5)).\r<BR>\n" );
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document.write( "the range of the function is undefined at x = 7 and x = -5.\r<BR>\n" );
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document.write( "there is an asymptote at x = -5.\r<BR>\n" );
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document.write( "there is a hole at x = 7.\r<BR>\n" );
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document.write( "there is a hole at x = 7 because the factors of (x-7) in the numerator and (x-7) in the denominator cancel out and disappear after simplification.\r<BR>\n" );
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document.write( "there is an asymptote at x = -5 because the (x-5) in the denominator is still there after simplification.\r<BR>\n" );
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document.write( "here is the graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2017/121406.jpg\" alt=\"$$$\">\r<BR>\n" );
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