document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=199342>Question 199342</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Give the equations of any vertical,horizontal, or oblique asymptotes.<BR>\n" );
document.write( "1.f(x)= 1/x-2 <BR>\n" );
document.write( "2.f(x)= x+2/x-2<BR>\n" );
document.write( "3.f(x)= x^2+x-2/x-2   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #149796 by </B><A HREF=/tutors/aboutme.mpl?userid=RAY100><B>RAY100(1637)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=RAY100><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=149796\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember,,, form  y=  a(n)x^n +..... / b(m) x^m +......<BR>\n" );
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document.write( "for  VERTICAL  ASYMPTOTES,,,,,,find  zero\"s  of  denominator<BR>\n" );
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document.write( "in  all  3  cases  above,,, (x-2) =0,,,or  x=2  is  a  vertical  asymptote<BR>\n" );
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document.write( "For  HORIZONTAL  ASYMPTOTES,,,,<BR>\n" );
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document.write( "if  n less than m,,,,,,y=0<BR>\n" );
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document.write( "if  n=m,,,,,y = a(n)/b(m)<BR>\n" );
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document.write( "n>m,,,,,,, no horizontal  asymptote<BR>\n" );
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document.write( "In  the  1st  case,,, n=0,m=1,,,or  n is less  than m,,,,,y=0  is  hor  asymptote<BR>\n" );
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document.write( "in  the  2nd  case,,,n=1,m=1,,or  n=m,,,,y = a(n)/b(m) = 1/1 =1,,,, y=1 is hor  asymptote<BR>\n" );
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document.write( "in  the 3rd  case,  n=2,m=1 ,,or n>m,,,,,therefore  no  hor  asymptote<BR>\n" );
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document.write( "for  OBLIQUE  ASYMPTOTES  (SLANT)<BR>\n" );
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document.write( "if n=(m+1),,,divide  numerator  by  denominator ,,,,and  set  answer (without remainder) =y<BR>\n" );
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document.write( "in the  3rd  case  above  ,,,n=2,m=1,,or  n=(m+1),,,,therefore  there  is  a  SLANT  asymptote<BR>\n" );
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document.write( "( x^2 +x -2) / (x-2) = x+3 +4/(x-2)<BR>\n" );
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document.write( "setting  y = x+3,,,,,,for  slant  asymptote<BR>\n" );
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document.write( ".We  might  also  look  for  x  intercepts,,,,which  are  zero's  of  numerator.<BR>\n" );
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document.write( "case  2  ,,,has  one  at  x=-2<BR>\n" );
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document.write( "case  3,,,has  one  at  x=-2,,and  another  at  x=+1<BR>\n" );
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