1. Given a function f : A → B. Define the relation f from P(A) to P(B) by f= {(X,Y) Ɛ P(A) × P(B)|Y = f(X)} . %3D a. Show that f is a function from P(A) to P(B). b. Show that if f is one-to-one, then f is one-to-one. c. Show that if f is onto B, then f is onto P(B)

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