Which of the following set of ordered pairs does not represent a function?

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BlackTom AI · Accepted Answer

The question asks which set of ordered pairs does not represent a function. A function requires that each input (the first component of each pair) is associated with exactly one output (the second component).
Option provided: {(10, 1), (10, 2), (10, 3), (10, 4), (10, 5)}
In this set, the input value 10 is paired with five different outputs: 1, 2, 3, 4, and 5. This violates the definition of a function, since a single input cannot map to multiple outputs.
If there were alternative options, we would compare each one similarly: check whether any input repeats with different outputs (which would make it not a function), or whether each input maps to exactly one output (which would make it a function). However, since only this option is provided, this is the set that does not represent a function.
Note: In a correctly formed list of options for a multiple-choice question about functions, at least one other option would typically illustrate a valid function, such as {(10, 1), (11, 2), (12, 3)} where each input has a single corresponding output.

SH-GENMATH T-STEM11-O [SA-PT] Assignment 1 Function Definitions and Operations

Which of the following set of ordered pairs does not represent a function?

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