MAA 3200 Midterm: MAA 3200 FIU Exam 2
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Show all your work and explain your reasoning. Don"t use your own paper, a calculator or book. You may ask for extra paper or for clari cations. Assume the universal set is r unless noted: [25pts?] 3)[10pts] prove or disprove: if f : a b and s, t a then f (s t ) = f (s) f (t ). 2: [15pts] choose one, de ne q from z using ordered pairs and an equivalence relation. Explain brie y (but there"s nothing to prove): suppose f : a b and g : b c are both onto functions. Then f g : a c. Prove it is onto: [20pts] answer true or false: you don"t have to explain. The set of rationals, q, is denumerable and q z. If r and s are relations on a then (r s) 1 = (r) 1 (s) 1.
