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 394: 8

Answer

$a-4\\ b-2\\ c-1\\ d-2\\ e-1 \\ $

Work Step by Step

$J_{5}=\left \{ 0,1,2,3,4 \right \},F:J_{5}\rightarrow J_{5}\\ F(x)=(x^3+2x+4)\,mod\,5 \\ a-\\ F(0)=(0+0+4)\,mod\,5=4\,mod\,5=4 \\ b-\\ F(1)=(1^3+2(1)+4)\,mod\,5=7\,mod\,5=2 \\ c-\\ F(2)=(2^3+2(2)+4)\,mod\,5=16\,mod\,5=1 \\ d-\\ F(3)=(3^3+2(3)+4)\,mod\,5=37\,mod\,5=2 \\ e-\\ F(4)=(4^3+2(4)+4)\,mod\,5=76\,mod\,5=1 \\ $
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