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Mathematics 16 Online
OpenStudy (anonymous):

Which relation is a function? A. {(1, 2); (1, 3); (3, 2); (4, 2)} B. {(1, 2); (2, 5); (3, 2); (4, 5)} C. {(1, 2); (2, 3); (3, 4); (2, 5)} D. {(1, 2); (2, 3); (3, 4); (1, 5)}

OpenStudy (godlovesme):

(x,y) if x is repeated in any of the above ordered pairs it's not a function

OpenStudy (anonymous):

So, you can eliminate C, correct?

OpenStudy (godlovesme):

y c? @ionicallyrose

OpenStudy (godlovesme):

@ironicallyrose ***

OpenStudy (holly00d1248):

2 repeating

OpenStudy (holly00d1248):

Its B becaus etheres no x values repeating

OpenStudy (godlovesme):

oh sorry i didn't see that =0 u guys r correct :) @holly00d1248 & @ironicallyross

OpenStudy (anonymous):

Well, the question is asking for function and if x is repeated in any of the ordered pairs, it is not a function. Therefore, we can eliminate that.

OpenStudy (godlovesme):

@ironicallyrose ****

OpenStudy (anonymous):

Haha yeah :)

OpenStudy (anonymous):

Please be careful! Technically, it's not whether x is repeated. For example, if we added the ordered pair (3,2) to answer B, it would still be a function even though x=3 has been repeated. The definition of a function is a relation in which, for every value of x, there is a UNIQUE value of y.

OpenStudy (holly00d1248):

very true @ospreytriple good catch

OpenStudy (anonymous):

Take answer A. For x=1, there are two corresponding value of y, y=2 and y=3. This relation, therefore, is not a function.

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