Which set of ordered pairs represents a function?
A{(3,2),(3,3),(3,4)}\left\{\left(3,2\right),\left(3,3\right),\left(3,4\right)\right\}{(3,2),(3,3),(3,4)}
B{(2,7),(2,8),(3,8)}\left\{\left(2,7\right),\left(2,8\right),\left(3,8\right)\right\}{(2,7),(2,8),(3,8)}
C{(4,1),(5,1),(4,4)}\left\{\left(4,1\right),\left(5,1\right),\left(4,4\right)\right\}{(4,1),(5,1),(4,4)}
D{(5,6),(8,6),(9,6)}\left\{\left(5,6\right),\left(8,6\right),\left(9,6\right)\right\}{(5,6),(8,6),(9,6)}
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Answer. A relation is just a set of ordered pairs (x,y) . In formal mathematical language, a function is a relation for which: if (x1,y) and (x2,y) are both in the relation, then x1=x2 . This just says that in a function, you can't have two ordered pairs with the same x -value but different y -values.
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