Rational Functions

Rational Functions Faith Marzolf

y= (X-4) / (X-3)

Polynomial divided by Polynomial (numerator one degree larger than denominator)

y= (x^2-4)/ (x+3)

Y=1/x

Basic Graph

Y= 1/x+7

Horizontal Asymptote: X= 0 Veritcal Asymptote: Y= 0

Horizontal Asymptote: X= 0Vertical Asymptote: Y= -7

Verical Asymptote: X= -3Slant Asymptote: Y=X-3

Horizontal Asymptote: X=1Vertical Asymptote: Y=-3

Horizontal Asymptote: Y=0Vertical Asymptote: X= -3 ' X=3

Basic Graph Shifted

Polynomial divided by Polynomial (same degree)

Explaining how to find slant asymptotes

Y= (X-4)/(X^2-9)

Polynomial divided by Polynomial (denominator with larger degree than numerator)

How to graph a rational function