Question 885590: Which relation is a function?
A.
(5, –2), (4, 6), (–3, –2), (0, 4)
B.
(–1, –2), (3, –5), (–1, –5), (2, –2)
C.
(4, 3), (3, 2), (–1, 5), (4, 0)
D.
(–4, –4), (3, –3), (–4, 4), (–3, 3)
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! A.
(5, –2), (4, 6), (–3, –2), (0, 4)
This is a function since each x value maps to exactly one y value. There are NO repeated x values.
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B.
(–1, –2), (3, –5), (–1, –5), (2, –2)
Notice how we have x = -1 mapping to y = -2 and y = -5 at the same time. This means this is NOT a function
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C.
(4, 3), (3, 2), (–1, 5), (4, 0)
Like in choice B, we have x = 4 paired with y = 3 and y = 0 at the same time. This is NOT a function.
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D.
(–4, –4), (3, –3), (–4, 4), (–3, 3)
When x = -4 the value of y is y = -4 and y = 4. We do NOT have a function here.
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Final Answer: Only choice A is a function.
Answer by richwmiller(17219)  (Show Source):
You can put this solution on YOUR website! In a function, there can be only one y for each x
B) x=-1 yields -2 and -5
C) 4,3 and 4,0 yield two y;s for x=4
D) x=-4 yields two y 's -4 an d+4
Which leaves only A
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