RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 3. Functions

Subject: Maths - Class 11th

Q. No. 1 of Exercise 3A

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Define a function as a set of ordered pairs.

Function as a set of ordered pairs: A function is a set of ordered pairs with the property that no two ordered pairs have the same first component and a different second component.

The domain of a function is the set of all first components, x, in the ordered pairs and the range of a function is the set of all second components, y, in the ordered pairs.

For. e.g. {(1,x), (2,y), (3,z)} is a function, since there are no two pairs with the same first component.

Here, Domain is {1, 2, 3} and Range is {x, y, z}

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