Rational Functions

Flashcard
•
Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational function?
Back
2.
FLASHCARD QUESTION
Front
What is a hole in a rational function?
Back
A hole occurs in a rational function at a point where both the numerator and denominator are zero, indicating a removable discontinuity.
3.
FLASHCARD QUESTION
Front
How do you find the coordinates of a hole in a rational function?
Back
To find the coordinates of a hole, factor the numerator and denominator, cancel the common factors, and evaluate the function at the x-value of the canceled factor.
4.
FLASHCARD QUESTION
Front
What is a point of discontinuity?
Back
A point of discontinuity is a value of x where a function is not continuous, which can occur due to holes or vertical asymptotes.
5.
FLASHCARD QUESTION
Front
What are vertical asymptotes?
Back
Vertical asymptotes are lines x = a where the function approaches infinity or negative infinity as x approaches a, typically found where the denominator is zero.
6.
FLASHCARD QUESTION
Front
How do you determine vertical asymptotes?
Back
To find vertical asymptotes, set the denominator of the rational function equal to zero and solve for x.
7.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line y = b that the graph of a function approaches as x approaches infinity or negative infinity.
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