1. RATIONAL FUNCTIONS 2.6

2. RATIONAL FUNCTIONS

3. VERTICAL ASYMPTOTES  To find vertical asymptotes first reduce the function if possible.  Set the denominator equal to zero and solve for x  Those are your asymptotes  Any factors that cancel are a “hole” in the graph.

4. FIND ALL VERTICAL ASYMPTOTES

5. HORIZONTAL ASYMPTOTES  n is the degree of N(x)  m is the degree of D(x)  If n<m y = 0 is a horizontal asymptote  If n>m there are no horizontal asymptotes  If n=m y=a/b is the horizontal asymptote where a is the leading coefficient of N(x) and b is the coefficient of D(x)

6. FIND ALL ASYMPTOTES AND IDENTIFY THE DOMAIN

8. FIND ALL ASYMPTOTES AND NAME THE DOMAIN

9. TWO DIFFERENT HORIZONTAL ASYMPTOTES

10. FIND THE ZEROS OF THE FUNCTION

11. HOMEWORK  Pg 148 #7-21 odd, 31 – 34 all