Question

What is the domain and range of {(1,8) (2,3) ( 3,5) (4,0) (5,9)}?

Answer 1

Domain is Set A : { 1,2,3,4,5 }
Range is Set C : { 8,3,5,0,9 }

Explanation:

Let `f` is a Function , `f` : A→B, Set A is known as the Domain of `f` and Set B is known as the Co-Domain of `f`. The set of all `f` images of elments of A is known as the Range of `f`. Thus :-

Domain of `f` = {`x` I `x` ϵ A, (`x, f(x))`ϵ`f` }

Range of `f` = {`f(x)` I `x` ϵ A, `f(x)`ϵ B }

NOTE :- "Range is a subset of Co-domain"