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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