document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=466268>Question 466268</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equations of both the horizontal and vertical asymptotes of the rational function  \r<BR>\n" );
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document.write( "f(x)= 2x^2+8/x-1<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "Horizontal:<BR>\n" );
document.write( "Vertical:<BR>\n" );
document.write( "Show work or explain: </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #319599 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=319599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equations of both the horizontal and vertical asymptotes of the rational function <BR>\n" );
document.write( "f(x)= 2x^2+8/x-1<BR>\n" );
document.write( "Answer:<BR>\n" );
document.write( "Horizontal:<BR>\n" );
document.write( "Vertical:<BR>\n" );
document.write( "Show work or explain:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "f(x)= 2x^2+8/x-1<BR>\n" );
document.write( "To find the vertical asymptote, set the denominator=0, then solve for x.<BR>\n" );
document.write( "x-1=0<BR>\n" );
document.write( "x=1 (vertical asymptote)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "horizontal asymptote:<BR>\n" );
document.write( "When degree of numerator is less than degree of denominator, horizontal asymptote=x-axis or y=0.<BR>\n" );
document.write( "When degree of numerator is equal to degree of denominator, divide coefficient of numerator by coefficient of denominator to get the horizontal asymptote.<BR>\n" );
document.write( "When degree of numerator is one degree greater than that of denominator, you will get a slant asymptote, which is the case for given rational function. To find the slant asymptote, divide numerator by denominator. The quotient will be a straight-line function plus remainder. The straight-line function will be the slant asymptote.<BR>\n" );
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document.write( "2x^2+8/x-1<BR>\n" );
document.write( "=2x+2+Remainder:(10/x-1)<BR>\n" );
document.write( "slant asymptote, y=2x+2 </SPAN>\n" );
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