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Suppose n gt 1 is a natural number and f z rarrn upsilon 0

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Suppose N > 1 is a natural number and f: Z →N υ {0} is the function that associates with each a ε Z its remainder upon division by n; thus, if a = qn + r with 0 ≤ r < n, then f(a) = r.

(a.)  Find the domain and range of f

(b.)  Is f one-to-one?

(c.)  Is f onto?

Reference no: EM13583270

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