The domain of the following relation: r: {(3, 5), (8, 6), (2, 1), (8, 6)} is
Solution:
The given relation r: {(3, 5), (8, 6), (2, 1), (8, 6)} is a function because a function is a relation where each input in set X has only one output in set Y.
We will use the concept of set, relation, and function to find the domain.
For an ordered pair (x,y) that a set contain:
x = domain, y = range
The elements in set X are known as domain and elements in set Y are known as range.
In relation, x can have 2 or more than 2 ranges.
So, domain = first element of ordered pair
Given, ordered pair is r: {(3, 5), (8, 6), (2, 1), (8, 6)}
Domain = {3, 8, 2, 8}
Since the element 8 is occuring twice, domain = {3, 2, 8}
Therefore, the domain is {3, 2, 8}.
The domain of the following relation: r: {(3, 5), (8, 6), (2, 1), (8, 6)} is
Summary:
The domain of the relation: r: {(3, 5), (8, 6), (2, 1), (8, 6)} is {3, 2, 8}.
What is the domain of the following relation: r: {(3, 5), (8, 6), (2, 1), (8, 6)}.
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