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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