1. 2.6 Rational Functions Asymptotes; Can’t touch this stuff Can’t touch this stuff

2. Asymptote as·ymp·tote / ˈ asəm(p) ˌ tōt/ Noun: A line that continually approaches a given curve but does not meet it at any finite distance. Math wants to know the behavior of the function coming at it from the Right or Left.

3. x is all real numbers but what value in the function

4. x is all real numbers except what value in the function x ≠ 1The asymptotes would be x = 1

5. x is all real numbers except what value in the function x ≠ 1The asymptotes would be x = 1

6. x is all real numbers except what value in the function x ≠ 1The asymptotes would be x = 1 Vertical asymptotes is 1 Since the you can not have zero in the denominator.

7. x is all real numbers but what value in the function x ≠ 1The asymptotes would be x = 1 Horizontal asymptotes Is also 1

8. To find the Horizontal Asymptote Look the equation If n = m, then the horizontal asymptote is If n < m, then the horizontal asymptote is 0. If n > m, then No horizontal asymptote If n = m + 1, then we have a slant asymptote. Slant asymptote is y =

9. Behavior as the function approaches the asymptote

10. From the Right From the Left Also,

11. Lets graph

12. Homework Page 174 – 177 # 5, 9, 17, 27, 45, 53, 69, 73, 91

13. Homework Page 174 – 177 # 7, 11, 19, 37, 49, 57, 71, 87 49, 57, 71, 87