The cardinality of a function's range:
The cardinality of a function's range:
Answer: B. Can be less than or equal to the cardinality of its domain — In general, a function can map multiple elements of the domain to the same element of the codomain (unless it is injective), so the cardinality of the range…
- A.
Must be equal to the cardinality of its domain
- B.
Can be less than or equal to the cardinality of its domain
- C.
Can be greater than or equal to the cardinality of its domain
- D.
Is unrelated to the cardinality of its domain
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Correct answer: B
In general, a function can map multiple elements of the domain to the same element of the codomain (unless it is injective), so the cardinality of the range can be less than or equal to the cardinality of the domain.
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