Let f z z be defined by fx x is f one-to-one is f onto


Question: 1. Let f: Z → Z be defined by f(x) = x . Is f one-to-one? Is f onto? Explain why or why not in each case.

2. (Donated by Dave Perkins) A small skunk stumbles upon a plover's nest that contains six eggs. The skunk is only able to choose three of the six eggs to take with her; how many choices total does she have? (Fortunately for the eggs, the plover returns while the skunk is calculating and chases the skunk away.)

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Mathematics: Let f z z be defined by fx x is f one-to-one is f onto
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