Consider the following fact. Suppose A and B are sets, that A. T A, and fis a function mapping A B. Then f(SnTC f(sn f(T). Which of the following sets, subsets and definition for the function f can be used to demonstrate the fact that f(S nT) might be a proper subset of f(S)nf(T)? (Hint. This problem is probably best tackled by actually plugging these sets/subsets into f and seeing which case demonstrates the proper subset case of the above fact, f(SnT)c f(S)nf(T)) Select one A-(0,1,2). B = Z, S-(0,1). T-(1,2), f(z) z2 O A -1,0,1), B Z, S -1,0), T [0,1). f(x) a2 A = {-1,0,1}, B = Z. S-(-1,0} T = {0,1}, f(z) = z A = {-1,0,1), B-Z, S = {-1,0}, T = {0,1}, f(z) = z O Check