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13. Which of the following is a function?a. {(3,1),(4,5), (0, -2),(4,1)}b. (9,4),(-7,-4), (3,-5), (-3,5)}c. {(2, 1), (8, 7), (5, -9), (8,4)}d. {(6,-4), (0, -2), (0, -1), (6,3)}

13. Which of the following is a function?a. {(3,1),(4,5), (0, -2),(4,1)}b. (9,4),(-7,-4), (3,-5), (-3,5)}c-example-1
User Ryan Shocker
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1 Answer

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Recall that for a relationship to be a function, it must satisfy that only one element of the range should be associated with an element of the domain.

Then, in our examples, we see that example a) cannot be a function because the number "4" of the domain (first number in the ordered pair of the form (x,y)) is associated with two different values: 5 in one case, and 1 in the other.

Example b) looks fine as an example of a function.

Example c) is NOT a function because the element 8 in the Domain is associated with 7 in the range and also with 4.

Example d) is Not a function either because the element 0 in the Domain is associated with -2 in one case and with -1 in another.

Only function shown is that of example b: (9,4),(-7,-4), (3,-5), (-3,5)

User Robbie Hanson
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