Question

Define four sets of integers Let P {0, 1), let Q {-11, 1, 5) , and Let R and S be arbitrary nonempty subsets of Z. Define an even indicator function F F: ZP by F(x) = (x + 1) mod 2 for x e Z That is, F(x) 1 if x is even, and F(x) = 0 if x is odd. or neither? Explain. a) Is F: Q P one-to-one, onto, both, or neither? Explain. b) Is F: (Pn Q) - P one-to-one, onto, both, c) Suppose F: R- P is onto. What conditions are necessarily true about the set R? d) Suppose F: S B is one-to-one. What can you say about S? What conditions are necessarily true about the set s? P is a one-to-one correspondence, e) Define a set T so that F: T L-1

Answer 1

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