Answer
a) f(n)=n − 1 --- Yes
b) f(n)=n^2 + 1 --- No,as (-n)^2 == n^2
c) f(n) = n^3 --- Yes
d) f(n) = ⌈n/2⌉ --- No
Work Step by Step
a) f(n)=n − 1 --- Yes
b) f(n)=n^2 + 1 --- No,as (-n)^2 == n^2
c) f(n) = n^3 --- Yes
d) f(n) = ⌈n/2⌉ --- No
Discrete Mathematics and Its Applications, Seventh Edition
by Rosen, Kenneth
Published by
McGraw-Hill Education
ISBN 10:
0073383090
ISBN 13:
978-0-07338-309-5
Chapter 2 - Section 2.3 - Functions - Exercises - Page 153: 12
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