Rational functions

ƒ(x) = polynomial / polynomial

domain
restrictions
simplified vertical
asymptotes
holes   extrema  
min/max
abs./local
   x-intercepts    y-intercept horizontal/oblique
asymptote
1 / x
1 / x2
8 / x+4
x+8 / x+4
2x+8 / x-4
x-8 / x-4
x2 / x-4
x-4 / x2
x2-2x-3 / x2+5x+4
3x2-4x-2 / x2-2x-3