What is a function in mathematics?
Function or Non-Function?

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•
Mathematics
•
8th - 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
How can you determine if a relation is a function?
Back
A relation is a function if every input (x-value) has exactly one output (y-value). This can be checked using the vertical line test on a graph.
3.
FLASHCARD QUESTION
Front
What is the vertical line test?
Back
The vertical line test is a method to determine if a curve is a graph of a function. If any vertical line intersects the graph at more than one point, then the relation is not a function.
4.
FLASHCARD QUESTION
Front
What is the domain of a function?
Back
The domain of a function is the set of all possible input values (x-values) for which the function is defined.
5.
FLASHCARD QUESTION
Front
What is the range of a function?
Back
The range of a function is the set of all possible output values (y-values) that the function can produce.
6.
FLASHCARD QUESTION
Front
Can a function have multiple outputs for a single input?
Back
No, a function cannot have multiple outputs for a single input. Each input must correspond to exactly one output.
7.
FLASHCARD QUESTION
Front
What is an example of a function?
Back
An example of a function is f(x) = 2x + 3, where for each value of x, there is a unique value of f(x).
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