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Briefly explain why f is a one-to-one function

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(a) Define the function f: R→R by f(x) = x3 + 4. Briefly explain why f is a 1-1 (one-to-one) function. No proof necessary, just an explanation in some detail.

(b) Is the function g: R →Z defined by g(n) = [n/2]a one to one function? (Be careful,[n/2]means the ceiling function.) Explain.

(c) Briefly explain what f-1 means in general and then find f-1 for the function f in part a.

Reference no: EM13960807

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