Weston Phillips
09/03/2024 · Elementary School

A Relations can be classified as a Function even if values of the Range repeat.

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Yes, that statement is correct. A relation can be classified as a function as long as each input (or element from the domain) is associated with exactly one output (or element from the range). In other words, for a relation to be a function, it must satisfy the condition that no two different ordered pairs have the same first element (input) with different second elements (outputs). However, it is perfectly acceptable for different inputs to map to the same output, which means that values in the range can repeat. For example, consider the relation defined by the pairs: - (1, 2) - (2, 2) - (3, 4) This relation is a function because each input (1, 2, and 3) is associated with exactly one output. The output value "2" is repeated for different inputs (1 and 2), but that does not violate the definition of a function.

Quick Answer

A relation can be a function if each input has one output, even if some outputs are repeated.
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