Which of the following relations is not a function?

R={(1,2), (1,4)(3,1),(5,1)}

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R= {(2,1), (4,4)(3,1),(5,1)}

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R= {(1,2), (3,4),(2,1),(5,1)}

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R= {(1,2), (3,4)(2,1),(5,2)}

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Solution

The correct option is A
R={(1,2), (1,4)(3,1),(5,1)}

For a relation to be a function, every element of the domain must be connected to a unique element of the co-domain. In this case, (d) has the element 1 being connected to two different elements 2 and 4.Thus, it’ can’t be a function.

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Similar questions

A = {1, 2, 3}, B = {1, 3, 5} .

R

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R = {(1, 3), (1, 5), (2, 1)} .

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