1. Graphing Rational Functions
9-4 Practice Slide Show
Graphing
Rational
Functions

2. Make a flow chart with the steps for graphing rational functions:
Sketch
Asymptotes
Find Asymptotes
Find points to make the graph
Sketch the branches
State the domain and range

3. The degrees equal so the horizontal asymptote is y = 1½
Graph y =
3x 2
2x 2 – 2
The degrees equal so the horizontal asymptote is y = 1½
The denominator can be factored as (x + 1)(x – 1), therefore the vertical
asymptotes at x = – 1 and x = 1. x y
1.7 2 –½ -3
– 2 3
Pick 2 points to the left and right then 3 points in the middle 
D {x: x ≠ -1, 1}
R {y: y ≠ 1½}

4. RECAP What is the domain? What is the range? What are asymptotes?
x-values
What is the range?
y-values
What are asymptotes?
Bounds of a graph
How do you find the vertical asymptote?
Set the denominator equal to zero and solve
Write a rational equation that has a horizontal asymptote y = 4 and vertical asymptote x = 3.
4x-1 x-3
y =

5. HOMEWORK
Page ,30,35,37
What does it say?