Key Features of Rational Functions

Flashcard
•
Mathematics
•
10th - 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 is the general form of a rational function?
Back
The general form of a rational function is f(x) = P(x) / Q(x), where P(x) and Q(x) are polynomials.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
What is an asymptote in the context of rational functions?
Back
An asymptote is a line that the graph of a function approaches but never touches or crosses.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What are the types of asymptotes associated with rational functions?
Back
There are three types of asymptotes: vertical asymptotes, horizontal asymptotes, and slant (oblique) asymptotes.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
How do you find vertical asymptotes of a rational function?
Back
Vertical asymptotes occur at the values of x that make the denominator Q(x) equal to zero, provided that these values do not also make the numerator P(x) equal to zero.
Tags
CCSS.HSF-IF.C.7D
6.
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 positive or negative infinity.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
How do you determine the horizontal asymptote of a rational function?
Back
To find the horizontal asymptote, compare the degrees of the numerator and denominator: if the degree of the numerator is less than the degree of the denominator, y=0; if they are equal, y = leading coefficient of P / leading coefficient of Q; if the numerator's degree is greater, there is no horizontal asymptote.
Tags
CCSS.HSF-IF.C.7D
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