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 7.1 - Page 395: 33

Answer

True Its not a well-defined function, for example take $\frac{m}{n}$ = $\frac{1}{10}$, equviantally $\frac{m}{n}$ = $\frac{2}{20}$. we get f($\frac{1}{10}$) = 1-10 = -9 while f($\frac{2}{20}$) = 2-20 = -18 hence its not a well-defined function since there is 2 outputs for the same input.

Work Step by Step

True Its not a well-defined function, for example take $\frac{m}{n}$ = $\frac{1}{10}$, equviantally $\frac{m}{n}$ = $\frac{2}{20}$. we get f($\frac{1}{10}$) = 1-10 = -9 while f($\frac{2}{20}$) = 2-20 = -18 hence its not a well-defined function since there is 2 outputs for the same input.
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