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I. Sets and Functions[10%]. Define a function on the real numbers by f(x) =- a) What is the domain D and range(f) You must define

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I. Sets and Functions[10%]. Define a function on the real numbers by f(x) =- a) What is the domain D and range(f) You must define domain and range in set builder notation.[5] b) Now suppose f Drange(f). Is f invertible? If so find f-1 and prove that f is the inverse of f-1. [5] 2. Bijection[10%). Let f: Z+ Z+ such that rL Is f is bijective? Prove or disprove 3. Set Cardinality[ 15%]. Let Q denote the set of rational numbers and Z denote the set integers. Prove that IQI =

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