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

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.

x is all real numbers but what value in the function

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

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

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.

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

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 =

Behavior as the function approaches the asymptote

From the Right From the Left Also,

Lets graph

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

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