Math  /  Discrete

QuestionSuppose that the relation SS is defined as follows. S={(4,6),(4,6),(6,4)}S=\{(-4,6),(4,6),(-6,-4)\}
Give the domain and range of SS. Write your answers using set notation. domain == \square range == \square

Studdy Solution
To find the range of the relation S S , we need to extract the second element from each ordered pair in the set S S .
Given S={(4,6),(4,6),(6,4)} S = \{(-4,6),(4,6),(-6,-4)\} , the second elements are:
6,6,4 6, 6, -4
Since sets do not include duplicate elements, the range of S S is:
range={6,4} \text{range} = \{6, -4\}
The domain of S S is {4,4,6} \boxed{\{-4, 4, -6\}} and the range of S S is {6,4} \boxed{\{6, -4\}} .

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