1. 11.2: Graphing Rational Functions Algebra 1: May 1, 2015

2. Use the table to graph the function. List some different features about the graph that are unique from previous functions we have graphed. x-4-20124 y

3. Rational Functions: Graphs

4. Review Domain and Range Domain: x values, input Range: y values, output Vertical asymptote is a value excluded from the domain Horizontal asymptote is a value excluded from the range

5. Find the domain and range of the functions

6. Find the domain and range of the function

7. Graphing: Find all asymptotes – Vertical: Denominator = 0 – Horizontal: If only an x in the denominator - 0 If there is a ± # after the rational If there is an x on top and bottom, reduce their coefficients Draw in asymptotes Determine any x or y intercepts Connect the dots (Let asymptotes guide you)

8. State any asymptotes and sketch the Graph

9. Sketch the Graph