Graphing Rational Functions

Flashcard
•
Mathematics
•
11th - 12th 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 are vertical asymptotes?
Back
Vertical asymptotes are lines x = a where a rational function approaches infinity or negative infinity as x approaches a.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes of a rational function?
Back
Vertical asymptotes can be found by setting the denominator of the rational function equal to zero and solving for x.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a horizontal line that the graph of a function approaches as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you determine the horizontal asymptote of a rational function?
Back
The horizontal asymptote can be determined by comparing the degrees of the numerator and denominator polynomials.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
What does it mean if a rational function has a hole?
Back
A hole in a rational function occurs at a value of x where both the numerator and denominator are zero, indicating a removable discontinuity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
How do you find the domain of a rational function?
Back
The domain of a rational function is all real numbers except where the denominator is zero.
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