1. Ch 9.1: Graphing Rational Functions

2. Identifying Asymptotes
__________: an imaginary line that a graph will come close to, but will never touch
Finding Vertical Asymptotes Algebraically
Set each factor of the denominator equal to ____ and solve
Ex:

3. Graphing to find Asymptotes
When entering in the calculator, group the numerator together in parenthesis; Do the same with the denominator
To Find the Asymptotes, use F1 “Trace”
Asymptote: What values of x make the denominator = 0 (factor and set = 0)?
-- Write as “x = #”
Asymptote: As the graph goes left/right, what number is it approaching (as x gets very large or very small)?
Write as “y = #”
**If factors in the numerator and denom. cancel, there is a hole in the graph. Write “x ≠ #” at that value where the hole exists**

4. Vertical Asymptote: x =
Horizontal Asymptote: y =
Vertical Asymptote: x = ; x =
Horizontal Asymptote: