Content Check Rational Functions

Flashcard
•
Mathematics
•
12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What are asymptotes in rational functions?
Back
Asymptotes are lines that a graph approaches but never touches. They can be vertical, horizontal, or oblique.
2.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote occurs where the denominator of a rational function is zero, indicating a point of discontinuity.
3.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes?
Back
Set the denominator of the rational function equal to zero and solve for x.
4.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote indicates the behavior of a function as x approaches infinity or negative infinity.
5.
FLASHCARD QUESTION
Front
How do you determine horizontal asymptotes?
Back
Compare the degrees of the numerator and denominator: If the degree of the numerator is less, y=0; if equal, y= leading coefficient of numerator/leading coefficient of denominator; if greater, no horizontal asymptote.
6.
FLASHCARD QUESTION
Front
What is an oblique (slant) asymptote?
Back
An oblique asymptote occurs when the degree of the numerator is one more than the degree of the denominator.
7.
FLASHCARD QUESTION
Front
How do you find an oblique asymptote?
Back
Perform polynomial long division on the rational function.
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