
Graphing and Transformations of Rational Functions Refresher
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a vertical asymptote?
Back
A vertical asymptote is a line x = a where a function approaches infinity or negative infinity as x approaches a. It occurs when the denominator of a rational function equals zero and the numerator does not.
2.
FLASHCARD QUESTION
Front
How do you find the vertical asymptote of a rational function?
Back
To find the vertical asymptote of a rational function, set the denominator equal to zero and solve for x.
3.
FLASHCARD QUESTION
Front
What does |a| > 1 indicate about the graph of f(x) = \frac{a}{x-h} + k?
Back
It indicates a vertical stretch of the graph.
4.
FLASHCARD QUESTION
Front
What is a hole in a rational function?
Back
A hole occurs at a point where both the numerator and denominator of a rational function equal zero, indicating that the function is undefined at that point.
5.
FLASHCARD QUESTION
Front
How do you identify a hole in a rational function?
Back
To identify a hole, factor both the numerator and denominator, and find the common factors. The x-value that makes the common factor zero is where the hole occurs.
6.
FLASHCARD QUESTION
Front
What transformation does -f(x) represent?
Back
The transformation -f(x) represents a reflection of the graph of f(x) across the x-axis.
7.
FLASHCARD QUESTION
Front
What is the graph of f(x) = \frac{1}{x} known as?
Back
The graph of f(x) = \frac{1}{x} is known as a hyperbola.
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