# Question about onto functions

Let P be the power set of {A, B} and let S be the set of all binary strings of length 2. A function f: P -> S is defined as follows: For A in P, f(A) has a 1 in the high-order bit position (left end of string) if and only if a is in A. f(A) has a 1 in the low-order bit position (right end of string) if and only if b is in A. Is f one-to-one? Prove or disprove. Is f onto? Prove or disprove.

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#### Solution Summary

This is a proof regarding one-to-one and onto functions.

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