rational functions
Flashcard
•
Mathematics
•
11th Grade
•
Practice Problem
•
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 the general form of a rational function?
Back
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a line x = a where the function approaches infinity or negative infinity as x approaches a.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes of a rational function?
Back
Set the denominator Q(x) = 0 and solve for x.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is a horizontal asymptote?
Back
A horizontal asymptote is a line y = b that the function approaches as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
How do you find horizontal asymptotes of a rational function?
Back
1. If the degree of P < degree of Q, then y = 0. 2. If the degree of P = degree of Q, then y = leading coefficient of P / leading coefficient of Q. 3. If the degree of P > degree of Q, there is no horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What is the significance of the leading coefficient in a rational function?
Back
The leading coefficient determines the end behavior of the function as x approaches infinity or negative infinity.
Tags
CCSS.HSF-IF.C.7D
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