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23 e points let x and y be nonempty sets...

Question: 23 e points let x and y be nonempty sets...

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23. (e points.) Let X and Y be nonempty sets, and let f be a function from X to Y. What does it mean to say that f is one-to-one? (a) For every y in Y, there is some r in X such that f(x)- y (b) For every zi and x2 in X. IF f(z)-1(z), THENェ1-X2. (e) Fr every in X, there is exactly one y in Y such lhat /(z) = y. (d) The function /precisely matches all the elements of X with all the elements of Y

rams below, use arrows to depict everywhere-defined functions3 f and g such that.. (a) ...f is one-to-one but g o f is not one-to-one; (b) ...g is onto but go f is not onto. (a.) A (b.) A 3 This means that the domain of f is all of A and the domain of g is all of B

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