Determine whether the relation {(7,2), (-10,3), (-5,-1), (7,3)} is a function. explain.

Hello from MrBillDoesMath!

 No.

Discussion:

Look at the 1st and 4th members of the relation.

(7,2)    (7,3)

Treating these as points,  a vertical line passes through both of them ( x = 7 is the line) so there is no unique y value corresponding to x =7.  So no functional relationship exists between them.

Regards, MrB

answer;

the correct answer

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