Section 2 - Graph Simple Rational Functions
8.2 Graph Simply Rational Functions
- I can rational functions
- I can graph translations of simple rational functions
- I can find the domain and range of a rational function
- I can write rational functions
1) Fill in the table for the rational parent function y=1/x.
2) How does the graph change when a number is added or subtracted to the denominator of the parent function f(x) =1/x?
3) How does the graph change when a number is added or subtracted to the outside of the parent function f(x) =1/x?
4) How does the graph y = [a/(x+h)] + k change when you manipulate all the variables?
5) Manipulate the variables of a the rational function below and observe the effects to the x-intercept and the vertical asymptote. How could you find the x-intercept of a function without looking at the graph? How could you find the vertical asymptote of a function without looking at the graph?
Questions:
HW:
- In example 3, how do you find the domain and range?
- In example 3, how do you find the horizontal asymptote?
- In example 3, how do you find vertical asymptote(s)?
- In example 3, how do you choose other points to plug in?
HW:
- p.561 #3-23odd,25,26,27-33odd,37,38