Question: Define a function f : P({0, 1}) P({1, 2}) {0, 1, 2} by f((A, B)) =| A B |. (a) Is the

 Define a function f : P({0, 1}) × P({1, 2}) → {0, 1, 2} by f((A, B)) =| A ∩ B |. 

(a) Is the function f injective? Justify the answer. 

(b) Is the function f surjective? Justify the answer.

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a To determine if the function f P0 1 P1 2 0 1 2 defined by fA B A B is injective we need to check if distinct inputs always produce distinct outputs ... View full answer

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