Operations with 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
How do you simplify a rational function?
Back
To simplify a rational function, factor both the numerator and the denominator and then cancel any common factors.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
What is the domain of a rational function?
Back
The domain of a rational function is all real numbers except where the denominator equals zero.
4.
FLASHCARD QUESTION
Front
What does it mean to perform operations with rational functions?
Back
Performing operations with rational functions involves addition, subtraction, multiplication, or division of two or more rational functions.
Tags
CCSS.HSA.APR.D.6
5.
FLASHCARD QUESTION
Front
How do you add two rational functions?
Back
To add two rational functions, find a common denominator, rewrite each function with that denominator, and then combine the numerators.
Tags
CCSS.HSA.APR.D.7
6.
FLASHCARD QUESTION
Front
What is the process for subtracting rational functions?
Back
Subtracting rational functions follows the same process as addition: find a common denominator, rewrite, and then combine the numerators.
Tags
CCSS.HSA.APR.D.7
7.
FLASHCARD QUESTION
Front
How do you multiply rational functions?
Back
To multiply rational functions, multiply the numerators together and the denominators together, then simplify if possible.
Tags
CCSS.HSA.APR.D.7
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