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Abstract Mathematics and Computer Algorithms | Fiesta 8 2009 NAME___________________________ Problem 1 If S = {1, 2,3, 4} , consider the function f : S × S → N defined by f ( x, y ) = 4 x + y − 4 . .Determine the image of f , then show that f is a one-to-one function on S × S . Problem 2 Prove that f : \ → \ defined by f ( x) =
x +1 is one to one. x −1
x +1 is one to one. x −1
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