SOLUTION: Is this a function? Explain why or why not (3,5) (-2,4) (9,1) (7,5) (1,1) (3,4)

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Question 870522: Is this a function? Explain why or why not
(3,5) (-2,4) (9,1) (7,5) (1,1) (3,4)

Found 2 solutions by richwmiller, jim_thompson5910:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
A function can have two x's for one y ((9,1); (1,1) ) and (-2,4); (3,4) but not two y's for one x
(3,5) (3,4 )have the same x but two y's

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Notice how we have the two points (3,5) and (3,4). This x value (x = 3) corresponds to two y values (y = 5, y = 4). So that means it's NOT a function. Each x value must correspond to EXACTLY ONE y value for it to be a function.


Visually, you can plot all of these points. Then you would see that they fail the vertical line test because a vertical line passes through more than one point when you get to (3,5) and (3,4).

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Question: Is this a function?
(3,5) (-2,4) (9,1) (7,5) (1,1) (3,4)


Answer: No, it's not a function (reasoning explained above)