Function is a relation in which no two distinct ordered pairs have the same first elements.a.Trueb.False
Question
Function is a relation in which no two distinct ordered pairs have the same first elements.
- a. True
- b. False
Solution
The statement is True.
Explanation:
In mathematics, a function is defined as a specific type of relation. A relation consists of ordered pairs, and for a relation to qualify as a function, it must meet the criterion that no two distinct ordered pairs can have the same first element (or input). This means that every input in the domain of the function corresponds to exactly one output in the codomain. If there were two ordered pairs with the same first element but different second elements, it would violate the definition of a function.
Therefore, the correct answer to the question is a. True.
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