Discrete Mathematics with Applications 4th Edition

Published by Cengage Learning
ISBN 10: 0-49539-132-8
ISBN 13: 978-0-49539-132-6

Chapter 7 - Functions - Exercise Set 7.2 - Page 415: 25

Answer

one to one: True, Because 2 strings are different adding a to the start of each of them won't change that they are different. onto: False, let y = any string starting with b $\in$ S, whilst the image of any x $\in$ S will start with a because f(s) = as. For example, take the string bab we cant get any x to match it with.

Work Step by Step

one to one: True, Because 2 strings are different adding a to the start of each of them won't change that they are different. onto: False, let y = any string starting with b $\in$ S, whilst the image of any x $\in$ S will start with a because f(s) = as. For example, take the string bab we cant get any x to match it with.
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