1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in P. a) Is f one-to-one? Prove or give a counter example. b) Is f onto? Prove or give a counter example. c) What is f{*+*; ++*+; ***+*: +****+}?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 11E: Let be a relation defined on the set of all integers by if and only if sum of and is odd. Decide...
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1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p
in P.
a) Is f one-to-one? Prove or give a counter example.
b) Is f onto? Prove or give a counter example.
c) What is f*+*; ++*+; *****: +****+}?
Transcribed Image Text:1. Pis a set of string of +'s and *s. f: P→P is a function defined as f(p)=*p* for any string p in P. a) Is f one-to-one? Prove or give a counter example. b) Is f onto? Prove or give a counter example. c) What is f*+*; ++*+; *****: +****+}?
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