Rational Function Graphs

What to always do first?

FACTOR!!!!

How to find vertical Asymptotes (V.A.)

The value(s) of x that make the denominator equal to zero

Horizontal or Oblique (Slant) Asymptotes: Degree of numerator < Degree of denominator

y = 0 BoB0

Horizontal or Oblique (Slant) Asymptotes: Degree of numerator = Degree of denominator

y = ratio of leading coefficients

Horizontal or Oblique (Slant) Asymptotes: Degree of numerator is one more than degree of denominator

find the oblique (slant) asymptote by using long division

Horizontal or Oblique (Slant) Asymptotes: Degree of numerator is two or more greater than degree of denominator

no horizontal or oblique asymptote

Holes in the Graph

value(s) of x that make the denominator equal zero and are removable

X intercept

find the # that makes the denominator equal to 0 (_ , 0 )

y intercept

subsitute f(x) with f(0) then replace the variable with 0 and find that answer (0, _ )