document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=960100>Question 960100</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write the equation of a possible rational function with the following characteristics: <BR>\n" );
document.write( "- vertical asymptotes at x=3 and x=-3<BR>\n" );
document.write( "- x intercepts of x=5 and x=-1<BR>\n" );
document.write( "- horizontal asymptote of y=1/2\r<BR>\n" );
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document.write( "I started with: y=(x+3)/(x-5)/(x+3)(x-3) \r<BR>\n" );
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document.write( "My final answer for the question is y=(2x^2-8x-10)/(x^2-9)\r<BR>\n" );
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document.write( "I am not sure if my answer is correct and I am also unclear as to where the horizontal asymptote should be placed into the equation.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #586758 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=586758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Information for better guidance:\r<BR>\n" );
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document.write( "x-intercepts are the same as ROOTS or ZEROS for the function, which appear in the numerator.  Think, \"binomial factors\".\r<BR>\n" );
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document.write( "Horizontal asymptote means that the degree of numerator and denominator are equal.\r<BR>\n" );
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document.write( "You correctly chose degree two for numerator and denominator.  The horizontal asymptote means that the leading terms of numerator and denominator become increasingly important as x goes to the left or the right unbounded, and the ratio of their coefficients will approach  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "That should be enough to make the proper adjustments.  You almost have it. </SPAN>\n" );
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