Graphs of Rational functions
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Mathematics
•
11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the domain of a rational function?
Back
The domain of a rational function is the set of all real numbers except where the denominator is zero.
2.
FLASHCARD QUESTION
Front
What is the range of a rational function?
Back
The range of a rational function is the set of all possible output values (y-values) that the function can produce.
3.
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 zero, provided these values do not also make the numerator zero.
Tags
CCSS.HSF-IF.C.7D
4.
FLASHCARD QUESTION
Front
What is a hole in the graph of a rational function?
Back
A hole occurs at a value of x where both the numerator and denominator are zero, indicating a removable discontinuity.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
What is the horizontal asymptote of a rational function?
Back
The horizontal asymptote describes the behavior of the function as x approaches infinity or negative infinity, determined by the degrees of the numerator and denominator.
Tags
CCSS.HSF-IF.C.7D
6.
FLASHCARD QUESTION
Front
How do you determine the end behavior of a rational function?
Back
The end behavior can be determined by analyzing the leading coefficients and degrees of the numerator and denominator.
Tags
CCSS.HSF-IF.C.7D
7.
FLASHCARD QUESTION
Front
What transformations can be applied to the parent function of a rational function?
Back
Transformations include translations (up, down, left, right), reflections (over the x-axis or y-axis), and stretches or compressions.
Tags
CCSS.HSF.BF.B.3
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