Consider the relation below Is it a function? Is the relation a one to one function? Is the inverse of the relation below itself of function ?

PeterS asked Apr 15, 2023

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19 votes

Consider the relation below

Is it a function?
Is the relation a one to one function?
Is the inverse of the relation below itself of function ?

PeterS asked Apr 15, 2023

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17 votes

Answer:

it may be not

take an example x=(1) y={123) and define a relation of R as the set of pairs (1,1) (1,2)(1,3) so this not a function

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