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Answered

Select all the relations that represent a function.
1. (1, 3), (2, 5), (2, 7) (4,9)
2. (1, 3), (2, 5), (3, 7) (4,9)
3. (1, 3), (1,5), (1, 7) (4, 9)
4. (1,3), (2, 3), (3, 3) (4, 3)
5. (1, 2), (2, 5), (2, 1) (4, 5)

Answer :

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Answer:

1. (1, 3), (2, 5), (2, 7) (4,9)  No

2. (1, 3), (2, 5), (3, 7) (4,9)  Function

3. (1, 3), (1,5), (1, 7) (4, 9)  No

4. (1,3), (2, 3), (3, 3) (4, 3)  Function

5. (1, 2), (2, 5), (2, 1) (4, 5) No

Step-by-step explanation:

If you see the same x-coordinate more than once in a relation, then that relation is not a function.

1. (1, 3), (2, 5), (2, 7) (4,9)  The 2 is used more than once as a x-coordinate. Not a function.

2. (1, 3), (2, 5), (3, 7) (4,9)  All x-coordinates are different. Function.

3. (1, 3), (1,5), (1, 7) (4, 9)  The 1 is used more than once as an x-coordinate. Not a function.

4. (1,3), (2, 3), (3, 3) (4, 3)  All x-coordinates are different. Function.

5. (1, 2), (2, 5), (2, 1) (4, 5) The 2 is used more than once as a x-coordinate. Not a function.

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