9.6-9.8: Rational Functions Flashcards
0
Q
When do essential discontinuities occur? What is an essential discontinuity?
A
Occurs at the zeroes of the denominator that are not zeroes of the numerator. They are vertical asymptotes.
1
Q
When do removable discontinuities occur? What is a removable discontinuity?
A
When the numerator and denominator have the same zero. It is a hole.
2
Q
What happens when n<m?
A
Horizontal asymptote at y=0
3
Q
What happens when n=m?
A
Horizontal asymptote at y=a/b
4
Q
What happens when n>m? How do you find it?
A
Slant asymptote
Long division
5
Q
How do you find the x intercept?
A
When the numerator=0
6
Q
How do you find the y intercept?
A
When x=0
7
Q
How do you find the vertical asymptote?
A
When the denominator=0
8
Q
How do you find the horizontal asymptote?
A
Use n and m
