document.write( "Question 164998: Hi, Can someone please help me?
\n" ); document.write( ".
\n" ); document.write( "Can someone please explain how to find the 3 different kinds of asymptotes in a rational equation? ( Horizontal asymptotes, Vertical asymptotes, Oblique asymptotes )
\n" ); document.write( ".
\n" ); document.write( "Can you do sort of give a little lesson on this subject? ( Such things like, \"How to find Horizontal, Vertical, Oblique asymptotes\", \" When can you have an Oblique asymptote\", \" How/When can you get \"potholes\"( points on a line that can't be in an equation ) \", and similar questions )
\n" ); document.write( ".
\n" ); document.write( "Can you could give some rational equations ( several different kinds, ones that are fractions, improper fractions, ones that contain \"potholes\", and so forth ), along with how to find the asymptotes, or \"potholes\"
\n" ); document.write( ".
\n" ); document.write( "Thank you so much ahead of time, Levi
\n" ); document.write( "

Algebra.Com's Answer #121611 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Vertical asymptote at x = 3: y = x/(x-3)
\n" ); document.write( "Horizontal asymptote at y = 1:
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cx%2F%28x-3%29%29\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "Horizontal asymptote at y = 3: y= 3x/(x-2)
\n" ); document.write( "Vertical asymptote at x=2
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C3x%2F%28x-2%29%29\"
\n" ); document.write( "------------------------------------
\n" ); document.write( "Oblique asymptote at y = x :y = (x^2 +x +2)/(x)
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28x%5E2%2Bx%2B2%29%2Fx%29\"
\n" ); document.write( "------------------
\n" ); document.write( "Pothole at x = 2:y = ((x-1)(x-2))/(x-2)
\n" ); document.write( "\"graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28%28x-1%29%28x-2%29%29%2F%28x-2%29%29\"
\n" ); document.write( "-----------------------------------------------------------
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" ); document.write( "
\n" );