11. Suppose that f: (1,033 (1,033, and we define f as taking the first 1 in the string and transforms it into a 0 an tak

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11 Suppose That F 1 033 1 033 And We Define F As Taking The First 1 In The String And Transforms It Into A 0 An Tak 1 (32.37 KiB) Viewed 76 times

11. Suppose that f: (1,033 (1,033, and we define f as taking the first 1 in the string and transforms it into a 0 an takes the first 0 in the string and transforms it into a 1. If the function has no zeros initially, then no zeros will be changed. If the function has no ones initially, then no ones will be changed. For example, 000 would become 001. Prove or give a counterexample if f is one-to-one, onto and/or a bijection. 12. Suppose that you wanted to construct a function that mapped one of the 50 states in the U.S. onto the 100 Senators of the United States. Explain if such a function can be constructed. Make sure that in your explanation you include the following vocabulary: well-defined function, onto, domain and range.