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Which one the following relations on A={...

Which one the following relations on `A={1,2,3}` is function? `f={(1,3),(2,3),(3,2),g={(1,2),(1, 23),(3,1)}`

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`A = {1,2,3}`
`f = {(1,3),(2,3),(3,2)}`
Here, each element of domain of `f` have a single image. So, `f` is a function.
`g = {(1,2),(1,3),(3,1)}`
Here, element `1` have two images `1` and `3`. In a function, one element can not have more than one image.
So, `g` is not a function.
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