1. Graphing Simple Rational Functions

2. Investigation
Graph the following: 1. Y = 3/X 2. Y = 6/X 3. Y = -8/X 4. Y = -4/X What do you notice?!?!?

3. Rational Function
There are 2 basic forms of a rational function 1) 2) Where p(x) & q(x) are polynomials

4. Rational functions in the form y = are split into parts. Each
part is called a BRANCH.
To see the direction of your branches look in your calculator and sketch.

5. Asymptotes
An Asymptote is a line (vertical or horizontal) that the graph approaches but NEVER touches!

6. Asymptotes

7. What’s domain?
The domain of a function is the set of all possible x-values. Vertical Asymptotes are values not included in the domain

8. What’s range?
The range of a function is the set of all possible y-values. Horizontal Asymptotes are values not included in the range

9. Asymptotes From the form
the Vertical Asymptote is when you set x – b = 0 and solve
the Horizontal Asymptote is y = c

10. Identifying Asymptotes
Identify the Asymptotes from the following functions. State the Domain and Range. 1.

11. Identifying Asymptotes
Identify the Asymptotes from the following functions. State the Domain and Range. 2.

12. Identifying Asymptotes
Identify the Asymptotes from the following functions. State the Domain and Range. 3.

13. 4. What would an equation of a rational function look like if k=2, it had a H.A. of y = -4, and a V.A. of x = -2 State the Domain and Range Then sketch the graph.