3-1 Relations and functions 2

Flashcard
•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a relation in mathematics?
Back
A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).
2.
FLASHCARD QUESTION
Front
What defines a function?
Back
A function is a special type of relation where each input is paired with exactly one output.
3.
FLASHCARD QUESTION
Front
Can a function have the same output for different inputs?
Back
Yes, a function can have the same output for different inputs, as long as each input has only one output.
4.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.
5.
FLASHCARD QUESTION
Front
Is the set {(-2, 3), (0, 5), (2, 3)} a function?
Back
Yes, it is a function because each input has a unique output.
6.
FLASHCARD QUESTION
Front
Is the set {(-1, 2), (1, 2), (1, 3)} a function?
Back
No, it is not a function because the input '1' is paired with two different outputs (2 and 3).
7.
FLASHCARD QUESTION
Front
What is a one-to-one function?
Back
A one-to-one function is a function where each output is paired with exactly one input, meaning no two different inputs can produce the same output.
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