document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=147096>Question 147096</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The question is to find the vertical and horizontal asymptote(s) of<BR>\n" );
document.write( "f(x)= (x^3+8)/(x^2+4)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #107438 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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/cgi-bin/show-face.mpl?user=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=107438\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> There are no vertical asymptotes, the denominator does not go to zero.<BR>\n" );
document.write( "There are no horizontal asymptotes, as x goes to infinity, the function looks like y=x, as you can see from the graph below. \r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-100%2C+100%2C+-100%2C+100%2C+%28x%5E3%2B8%29%2F%28x%5E2%2B4%29%0D%0A%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The second graph shows the behavior of the graph near zero. <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+%28x%5E3%2B8%29%2F%28x%5E2%2B4%29%0D%0A%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+300%2C+-5%2C+5%2C+-10%2C+10%2C+%28x%5E3%2B8%29%2F%28x%5E2%2B4%29%0D%0A%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );