document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=150689>Question 150689</A>: <I><SPAN STYLE=\"word-break: break-all;\"> y= M + A/N + A<BR>\n" );
document.write( "A = any coefficient<BR>\n" );
document.write( "M = degree of the numerator<BR>\n" );
document.write( "N = degree of the denominator\r<BR>\n" );
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document.write( "If M = N, the horizontal asymptote is the ratio of its coefficient\r<BR>\n" );
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document.write( "So, what if M < N and M > N, how do you find the horizontal asymptote? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #110660 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=110660\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> y= M + A/N + A<BR>\n" );
document.write( "A = any coefficient<BR>\n" );
document.write( "M = degree of the numerator<BR>\n" );
document.write( "N = degree of the denominator <BR>\n" );
document.write( "If M = N, the horizontal asymptote is the ratio of its coefficient <BR>\n" );
document.write( "So, what if M < N and M > N, how do you find the horizontal asymptote?<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "If M < N the ratio is 0; the horizontal asymptote is y = 0<BR>\n" );
document.write( "Example: y = (x+2)/(x^2+4) ; ratio = 0/1 = 0<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-10%2C10%2C-2%2C2%2C%28x%2B2%29%2F%28x%5E2%2B4%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-10%2C10%2C-2%2C2%2C%28x%2B2%29%2F%28x%5E2%2B4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "If M > N the ratio is \"undefined\"; divide to find the slant asymptote.<BR>\n" );
document.write( "Example: y = (x^2+4)/(x+2) ; ratio = 1/0 = undefined<BR>\n" );
document.write( "Dividing you get y = (x-2) + 8/(x^2+4)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-20%2C10%2C-20%2C10%2C%28x%5E2%2B4%29%2F%28x%2B2%29%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-20%2C10%2C-20%2C10%2C%28x%5E2%2B4%29%2F%28x%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "==================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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