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Which sets of ordered pairs represent functions from A to B? Explain.

A = {a, b, c} and B = {0, 1, 2, 3}

A. {(a, 1), (c, 2), (c, 3), (b, 3)}
B. {(a, 1), (b, 2), (c, 3)}
C. {(1, a), (0, a), (2, c), (3, b)}
D. {(c, 0), (b, 0), (a, 3)}

I narrowed it down to either B or C, but I'm not sure because they both don't use a letter or number twice as x. So I'm not sure which one is a function.

  • Pre-Calculus -

    to be a function, each member of A must map to a single member of B.

    A is not a function: c-->2 and c-->3
    B is
    C is not, since it does not map A onto B
    D is

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