
Transformations of Reciprocal Functions
Flashcard
•
Mathematics
•
10th - 11th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a reciprocal function?
Back
A reciprocal function is a function of the form f(x) = 1/g(x), where g(x) is a non-zero function.
2.
FLASHCARD QUESTION
Front
What is the general shape of the graph of a reciprocal function?
Back
The graph of a reciprocal function typically has two branches, approaching the x-axis and y-axis asymptotically.
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.
4.
FLASHCARD QUESTION
Front
What is the horizontal asymptote of the function f(x) = 1/x?
Back
The horizontal asymptote is y = 0.
5.
FLASHCARD QUESTION
Front
What does it mean to shift a graph up by 2 units?
Back
Shifting a graph up by 2 units means adding 2 to the y-values of the function.
6.
FLASHCARD QUESTION
Front
What does it mean to reflect a graph over the x-axis?
Back
Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.
7.
FLASHCARD QUESTION
Front
What is the domain of the function f(x) = 1/(x-2)?
Back
The domain is all real numbers except x = 2.
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