document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=448854>Question 448854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> FIND A RATIONAL FUNCTION THAT HAS VERTICAL ASYMPTOTES AT X=-4 AND X=5 AN X-INTERCEPT AT (-2,0)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #308787 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=308787\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> FIND A RATIONAL FUNCTION THAT HAS VERTICAL ASYMPTOTES AT X=-4 AND X=5 AN X-INTERCEPT AT (-2,0)?<BR>\n" );
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document.write( "Since you have asymptotes at x = -4 and x = 5<BR>\n" );
document.write( "there must be a (x+4) and a (x-5) factor in the denominator<BR>\n" );
document.write( "y = k/[(x+4)(x-5)]<BR>\n" );
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document.write( "If y = 0 when x = -2, there must be a (x+2) factor in the numerator:<BR>\n" );
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document.write( "y = (x+2)/[(x+4)(x-5)]<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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