satisfying EEEE (i) Is f surjective? Find the largest QUESTION 1 (7 pts). Consider the set largest element of B. QUESTION 3 (3 pts). Consider the

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satisfyingEEEE(i) Is f surjective?Find the largestQUESTION 1 (7 pts). Consider the setlargest element of B.QUESTION 3 (3 pts). Consider the function(ii) Is f injective? Justify your answer.(i) Prove that if M is a largest element ofFor all parts of this question, remember to justify your answer.re? Justify your answer.(i) Find the supremum of A or prove that it does not exist.Find the infimum of A or prove that it does not exist.Find the smallest element of A or prove that it does not ex(Such a function is said to be weakly increasing.) Furthermore, suppose that f is surjective.element of A or prove that it does not existQUESTION 2 (3 pts). Suppose that A and B are nonempty subsets of R, and that f: A -> B is a functionf: Ryo - Rzo, f(z) = |2 -1.Va1, a2 E A, (a1 < a2 = f(a1) < f(a2) ) .(ii) Why is the assumption that f is surjective necessary? Give an example of nonempty subsets A and Bof R, a weakly increasing function f : A -> B, and a largest element M of A such that f(M) is not aof A, then f(M) is a largest element of B.