19 points
Which relations represent a function?

The relation (10, 8), (7, 9), (9, 13), (8, 5) is representing a function. (option B)
A function defines relations between input and output, where all input has a distinct output.
Given are the relations,
A) (14, 12), (10, 12), (-13, 7), (11, 15)
In this, two inputs 14 and 10 have same output 12, so it can not be a function.
B) (10, 8), (7, 9), (9, 13), (8,5)
In this, we can see, every input have distinct outputs, so it can be considered as a function.
Hence, (10, 8), (7, 9), (9, 13), (8,5) is a function.
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