Question

Which relation is a function?

Answer 1

Hello from MrBillDoesMath!

Answer:

Choice B

Discussion:

The answer shown highlighted is the correct answer

For a function,  each value in the domain should be assigned a unique value in the range. In the case of ordered pairs, each x value in an order pair should have a unique  y value.  This aspect fails for Choices A, C, and D.  Details follow.

Choice A: Not a function because  (3,3), and (3,2)  both have x = 3 but associated y value is not unique (equal 3 or 2)

Choice C:  Not a function because (1,-1) and (1, -2)  both have x = 1 but  associated y value is not unique (equals -1 or -2)

Choice D: Not a function because  (2,3) and (2,1) both have x= 2 but associated y value is not unique (equals 3 or 1)

Choice B has no such issues as an x value is repeated.

Thank you,

MrB