Q. 25.0( 1 Vote )

For the given function F = { (1, 3), (2, 5), (4, 7), (5, 9), (3, 1) }, write the domain and range.

Answer :

We know that for any two non-empty sets A and B. A function f from A to B may be defined as a rule that assigns each element of set A to tha of set B in a unique way ( x A and y B).


We denote y = f(x) which means mean y is a function of x. so the set A is called the domain of the function and set B is called the co-domain of the function. y is called as the image of x under f and x is called a preimage of y. Range may be defined as the set of all image and it’s a subset of co-domain.


We can represent the function in set as described below


f = {(a,b) / a A and b B}


Where A is the domain and B is the pre-domain.


So as per data given,


F = {(1, 3), (2, 5), (4, 7), (5, 9), (3, 1)}


Here


Domain = {1, 2, 3, 4, 5}


Range = {1, 3, 5, 7, 9}


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