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Which relation is a function?

Which relation is a function?-example-1
User Darkdeamon
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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



User Sublucent
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