Rational Functions

Flashcard
•
Mathematics
•
9th - 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 an asymptote?
Back
An asymptote is a line that a graph approaches but never touches or crosses.
Tags
CCSS.HSF-IF.C.7D
3.
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
4.
FLASHCARD QUESTION
Front
How do you find the horizontal asymptote of a rational function?
Back
To find the horizontal asymptote, compare the degrees of the numerator and denominator polynomials.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is the vertical asymptote?
Back
A vertical asymptote is a vertical line that the graph of a function approaches as the input approaches a certain value, typically where the denominator is zero.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
How do you find the vertical asymptotes of a rational function?
Back
Vertical asymptotes can be found by setting the denominator equal to zero and solving for x.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What are x-intercepts?
Back
X-intercepts are points where the graph of a function crosses the x-axis, meaning the output (y-value) is zero.
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