4. Determine whether each of the following functions is a bijection and if not bijection, 1 explain why. (a) f:R →R, defined as f(r) = 1/2. (b) f:Z+Z, defined as f(r) = 3r + 1.
4. Determine whether each of the following functions is a bijection and if not bijection, 1 explain why. (a) f:R →R, defined as f(r) = 1/2. (b) f:Z+Z, defined as f(r) = 3r + 1.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:4. Determine whether each of the following functions is a bijection and if not bijection,
1
explain why.
(a) f:R → R, defined as f(r) = r/2.
(b) f:Z→ Z, defined as f(z) = 3r +1.
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