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Question
Is the given relation a function? Give reasons for your answer.
t = {(x, 3) | x is a real number
Solution
t = {(x, 3) | x is a real number.
Therefore, the domain element x is a real number.
Also, range has one number i.e., 3 in it.
Therefore, for every element in the domain has the image 3, it is a constant function.
A relation is said to be function if every element of one set has one and only one image in other set.
Hence, t is a function.
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