Question

Which of the following relations represents a function? A. (2,3), (1,3), (3,3) B. (1,3), (2,3), (2,4) C. (1,3), (2,3), (1,4) D. (2,2), (2,3), (2,1)

Answer 1

On a function groupset, you can't have the same X values, but you can have the same Y values. Example: If you had {(3,1) (5,1) (6,3)} it would be a function since no X values are the same.

On choice A., they all have the same Y value, but no X values are the same.
On choice B, (2,3) and (2,4) have the same X value.
On choice C, (1,3) and (1,4) have the same X value.
On choice D, they all have the same X value.

In short, your answer would be choice A, because no X values are the same.

Answer 2

A function will not have ANY repeating x values....it can have repeating y values...just not the x ones

so ur function is : (2,3) ,(1,3), (3,3) ....u see how u have no repeating x values