1. Which is not an asymptote of the function
Warm up
Which is not an asymptote of the function
A. x = –6
B. f(x) = 0
C. x = 2
D. f(x) = 4

2. 7-4 Graphing Rational Functions
Graph rational functions with horizontal and vertical asymptotes.
Graph rational functions with oblique asymptotes and point discontinuity.

3. Cool features: They have asymptotes!
They can have excluded values in both domain and range!
Sometimes they just have a hole in them!
To graph:
Figure out asymptotes.
Find some other points.

4. HORIZONTAL ASYMPTOTES

7. Graph.

9. Graph
5. 𝑓 𝑥 = 𝑥 2 +8𝑥+20 𝑥+2

10. If functions have common factors in top and bottom, you get HOLES!

13. To graph:
Factor numerator and denominator. Figure out any vertical asymptotes and holes.
Does it have horizontal asymptotes?
Higher degree on top, no horizontal, but possible oblique/slant.
Same degree top and bottom, y=ratio of lead coefficients
Higher degree on bottom, y=0 is horizontal asymp.
Find some other points. Make sure you show all branches.