3.6 Rational Functions

Vertical asymptotes

Vertical asymptotes

The line x=a is a _____ of the function y=f(x) if y approaches ±∞ as x approaches a from the right or left

Horizontal asymptotes

The line y=a is a _________ of the function y=f(x) if y approaches b as x approaches ±∞.

Hole

If the numerator and denominator have a common factor, then the graph is not defined at that point

Slant asymptote

An asymptote in the form of y=mx+b