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Which of the following relations are functions? Give reasons. If it is a function, determine its domain and range.

Q1 (1)  Which of the following relations are functions? Give reasons. If it is a function,
            determine its domain and range.

               {(2,1), (5,1), (8,1), (11,1), (14,1), (17,1)}

Answers (1)
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Since, 2, 5, 8, 11, 14 and 17 are the elements of domain R having their unique images. Hence, this relation R is a function.
Now,
As Domain of R = set of all first elements of the order pairs in the relation.
Therefore,
Domain of  R =\left \{ {2, 5, 8, 11, 14, 17} \right \}


Now,
As Range of R = set of all second elements of the order pairs in the relation.
Therefore,
Range of R =\left \{ {1} \right \}

Therefore, domain and range of R are  \left \{ {2, 5, 8, 11, 14, 17} \right \} \ and \ \left \{ 1 \right \}  respectively

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