Rational Functions
Flashcard
•
Mathematics
•
11th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational function?
Back
A rational function is a function that can be expressed as the quotient of two polynomials, where the denominator is not zero.
Tags
CCSS.HSF-IF.C.7D
2.
FLASHCARD QUESTION
Front
What is a hole in a rational function?
Back
A hole occurs in a rational function at a value of x where both the numerator and denominator are zero, indicating a removable discontinuity.
Tags
CCSS.HSF-IF.C.7D
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 that caused the hole.
Tags
CCSS.HSF-IF.C.7D
4.
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.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you determine vertical asymptotes in a rational function?
Back
Vertical asymptotes can be found by setting the denominator equal to zero and solving for x, provided that the numerator is not also zero at those points.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What are horizontal asymptotes?
Back
Horizontal asymptotes are lines y = b that the function approaches as x approaches positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes in rational functions?
Back
Horizontal asymptotes can be determined by comparing the degrees of the numerator and denominator polynomials.
Tags
CCSS.HSF-IF.C.7D
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