document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=47827>Question 47827</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the equations for  the horizontal and vertical asypmtotes of each function:\r<BR>\n" );
document.write( "\n" );
document.write( "a.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=1%2F%28x-1%29 ALIGN=MIDDLE  ALT=\"y=1%2F%28x-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "b.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%2F%28sqrt%28x%5E2-9%29%29 ALIGN=MIDDLE  ALT=\"y=x%2F%28sqrt%28x%5E2-9%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "c.) <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y=x%5E3%2F%28x%5E3-1%29 ALIGN=MIDDLE  ALT=\"y=x%5E3%2F%28x%5E3-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #31636 by </B><A HREF=/tutors/aboutme.mpl?userid=venugopalramana><B>venugopalramana(3286)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=venugopalramana><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.geocities.com/venugopalramana/FREE_MATHS_ASSISTANCE.html valign=middle><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=31636\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the equations for the horizontal and vertical asypmtotes of each function:<BR>\n" );
document.write( "a.) y=1/(x-1).........D.R=0 WHEN X-1=0..AND... X=1 IS THE ASYMPTOTE<BR>\n" );
document.write( "b.) y=x/(sqrt(x^2-9))...D.R=0 WHEN X^2=9...OR...X=3..AND..X=-3 ARE THE 2 ASYMPTOTES.<BR>\n" );
document.write( "FURTHER AS X TENDS TO ZERO Y TENDS TO ZERO.....Y=0 IS ANOTHER ASYMPTOTE<BR>\n" );
document.write( "c.) y=x^3/(x^3-1)...D.R=0 WHEN X^3-1=0...OR...X=1..IS THE ASYMPTOTE<BR>\n" );
document.write( "FURTHER AS X TENDS TO ZERO Y TENDS TO ZERO....Y=0 IS ANOTHER ASYMPTOTE.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1%2F%28x-1%29%2C1000000%2A%28x-1%29%29+ ALIGN=MIDDLE  ALT=\"+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+1%2F%28x-1%29%2C1000000%2A%28x-1%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+x%2F%28x%5E2-9%29%5E0.5%2C-x%2F%28x%5E2-9%29%5E0.5%2C0%2C1000000%2A%28x-3%29%2C1000000%2A%28x%2B3%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2Cx%5E3%2F%28x%5E3-1%29%2C0%2C1000000%2A%28x-1%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );