One-to-One functions
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a one-to-one function?
Back
A function where each output is associated with exactly one input, meaning no two different inputs produce the same output.
2.
FLASHCARD QUESTION
Front
How can you determine if a function is one-to-one using the horizontal line test?
Back
If any horizontal line intersects the graph of the function at most once, then the function is one-to-one.
3.
FLASHCARD QUESTION
Front
What is the inverse of a function?
Back
A function that reverses the effect of the original function, swapping the input and output.
4.
FLASHCARD QUESTION
Front
What is the relationship between the domain and range of a function and its inverse?
Back
The domain of the original function becomes the range of its inverse, and the range of the original function becomes the domain of its inverse.
5.
FLASHCARD QUESTION
Front
If f(x) = 2x + 3, what is f^{-1}(x)?
Back
f^{-1}(x) = (x - 3)/2.
6.
FLASHCARD QUESTION
Front
True or False: A function can be one-to-one if it has the same output for different inputs.
Back
False.
7.
FLASHCARD QUESTION
Front
What does it mean for a function to be not one-to-one?
Back
It means that there exists at least one pair of different inputs that produce the same output.
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