Is the relation #R ={(0,4), (1,5), (2,6), (2,7), (3,8)}# a function?

1 Answer
Jim H
Jun 15, 2015

No it is not a function.

Explanation:

A relation is a function is it does not have two pairs with the same first and different second elements.

Alternatively: A relation FAILS to be a function if it DOES have two such pairs.

The relation in this question includes #(2,6)# and #(2,7)#, so it is not a function.

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