Functions and Relations

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a function in mathematics?
Back
A function is a relation that assigns exactly one output for each input from a given set.
2.
FLASHCARD QUESTION
Front
What is the definition of a relation?
Back
A relation is a set of ordered pairs, where each pair consists of an input and an output.
3.
FLASHCARD QUESTION
Front
How can you determine if a mapping is a function?
Back
A mapping is a function if every input is associated with exactly 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
What does it mean for a mapping to be 'not a function'?
Back
A mapping is 'not a function' if at least one input is associated with more than one output.
6.
FLASHCARD QUESTION
Front
What is an example of a function?
Back
An example of a function is f(x) = x^2, where each input x has a unique output.
7.
FLASHCARD QUESTION
Front
What is an example of a relation that is not a function?
Back
An example of a relation that is not a function is the set {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.
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