document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140197>Question 1140197</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the simplest rational function that satisfies the given conditions.<BR>\n" );
document.write( "vertical asymptotes x=-5, x=4<BR>\n" );
document.write( "x intercept (-1,0)<BR>\n" );
document.write( "horizontal asymptote y=1\r<BR>\n" );
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document.write( "please show your work </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #760689 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=760689\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i chose (x^2 + x - 19) / (x^2 + x - 20).\r<BR>\n" );
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document.write( "here's my graph:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/043001.jpg\" alt=\"$$$\" >\r<BR>\n" );
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document.write( "x^2 + x - 20 factors out to be (x+5) * (x-4), creating the vertical asymptotes at x = -5 and x = 4.\r<BR>\n" );
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document.write( "the horizontal asymptote is as y = 1 because, as positive values of x get larger and larger, and negative values of x get larger and larger, the difference between the numerator and the denominator becomes smaller and smaller, eventually leading to a result that gets closer and closer to 1 but never quite becoming 1 no matter how large the value of x becomes.\r<BR>\n" );
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document.write( "the following excel spreadsheet shows the calculations that result in the vertical asymptotes at x = -5 and x = 4, and result in the horizontal asymptotes as plus or minus x gets larger and larger.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2019/043002.jpg\" alt=\"$$$\" > </SPAN>\n" );
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