The answers to exercise marked [BB] can be found in the Back of the Book.
(a) Define g: R → R by g(x)= x3 −x + 1. Graph g to determine whether g is one-to-one and/or onto.
(b) Define g : Z → Z by g(x)= x3 − x + 1. Determine (with reasons) whether g is one-to-one and/or onto.
(c) Repeat (b) for the function g: N → N defined by g(x) = x3 −x + 1.
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