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If set \(A\) has 4 elements and \(f:A\to B\) is a function, how many ordered pairs does \(f\) contain?

Answer and explanation

Correct answer: 4

In a function, each element of the domain is associated with exactly one element of the codomain. Thus, 4 domain elements produce 4 ordered pairs. The number of elements in the codomain does not affect this answer. Exam tip: The number of ordered pairs in a function equals the number of elements in its domain.

Related tags

FunctionsDomainOrdered PairsRelationsFunctions As A Special Kind Of RelationRelations And FunctionsMathematicsClass 11 Mcq

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