document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=136117>Question 136117</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hey i need help with this problem......\r<BR>\n" );
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document.write( "For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.<BR>\n" );
document.write( "y= x+5/(x-2)(x-3)\r<BR>\n" );
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document.write( "Thanks alot!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #99733 by </B><A HREF=/tutors/aboutme.mpl?userid=JSmall><B>JSmall(7)</B></A><img src=\"/images/stars/stars-05.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=JSmall><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=99733\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y= x+5/(x-2)(x-3)\r<BR>\n" );
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document.write( "\"Holes\" would occur when the numerator and denominator have a common factor which is an expression which could be zero. Since this fraction has no such common factors, there will be no \"holes\".\r<BR>\n" );
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document.write( "Vertical asymptotes will occur for x-values which make the denominator zero. For this equation the denominator will be zero if x = 2 or x = 3. So the vertical lines, x = 2 and x = 3 will be vertical asymptotes for this equation.\r<BR>\n" );
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document.write( "Horizontal asymptotes will occur if y approaches some constant value when x-values become very large (positive or negative). \r<BR>\n" );
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document.write( "For this equation, when x-values become very large, the denominator of the fraction becomes very large. This makes the fraction very, very small. In fact the fraction approaches zero in value. So as x-values become very large, the fraction becomes negligible and the y-value approaches the value of the non-fraction portion of the right side: x. \r<BR>\n" );
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document.write( "Since x is not a constant value there will be no horizontal asymptotes. But there will be what is called a slant asymptote! The line y = x will be a slant asymptote.\r<BR>\n" );
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