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 does it mean to simplify a rational function?
Back
Simplifying a rational function involves factoring the numerator and denominator and canceling out any common factors.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
How do you find common factors in a rational function?
Back
To find common factors, factor both the numerator and denominator completely and identify any factors that appear in both.
Tags
CCSS.HSA.APR.D.6
4.
FLASHCARD QUESTION
Front
What is the importance of identifying restrictions in rational functions?
Back
Identifying restrictions is crucial because it determines the values for which the function is undefined, typically where the denominator equals zero.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is the process of factoring a polynomial?
Back
Factoring a polynomial involves rewriting it as a product of its factors, which can include numbers, variables, or other polynomials.
6.
FLASHCARD QUESTION
Front
How do you cancel out common factors in rational functions?
Back
To cancel out common factors, divide both the numerator and denominator by the common factor, simplifying the expression.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What is the vertical asymptote of a rational function?
Back
A vertical asymptote occurs at values of x that make the denominator zero, indicating where the function approaches infinity.
Tags
CCSS.HSF-IF.C.7D
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