What is a function?
Determining Functions

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•
Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.
2.
FLASHCARD QUESTION
Front
What is the definition of domain in a function?
Back
The domain of a function is the complete set of possible values of the independent variable (input).
3.
FLASHCARD QUESTION
Front
What is the definition of range in a function?
Back
The range of a function is the complete set of possible values of the dependent variable (output).
4.
FLASHCARD QUESTION
Front
How can you determine if a relation is a function?
Back
A relation is a function if every input has exactly one output. This can be checked using the vertical line test on a graph.
5.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test states that if a vertical line intersects a graph at more than one point, then the graph does not represent a function.
6.
FLASHCARD QUESTION
Front
Given the set of ordered pairs (1,2), (2,3), (3,4), (1,5), is this a function?
Back
No, this is not a function because the input '1' is associated with two different outputs (2 and 5).
7.
FLASHCARD QUESTION
Front
What does it mean for a graph to be a function?
Back
A graph represents a function if for every x-value (input), there is only one corresponding y-value (output).
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