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3. Suppose f:Z → Z bas the rule An) = n - 1. (a) Determine if f is a function (b) Determine whether f is surjection onto Z and show why. Ans: True (c) Determine whether f is injection into Z and show why. Ans: True

3. Suppose f:Z → Z bas the rule An) = n - 1. (a) Determine if f is a function (b) Determine whether f is surjection onto Z and show why. Ans: True (c) Determine whether f is injection into Z and show why. Ans: True

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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5. Suppose that g: A→A and where A = (1.2,3,4). 8-((1,4)(2,1)(3,1).(4,2)) (a) Find g (g° g). (b) Find g and explain why g is not a function.
Transcribed Image Text:5. Suppose that g: A→A and where A = (1.2,3,4). 8-((1,4)(2,1)(3,1).(4,2)) (a) Find g (g° g). (b) Find g and explain why g is not a function.
3. Suppose f:Z Z has the rule in) = n - 1. (a) Determine if f is a function (b) Determine whether f is surjection onto Z and show why. Ans: True (c) Determine whether f is injection into Z and show why. Ans: True 4. Let Ar)-Lr51 Find AS) if S is (-2,-1,0,1.2,3}.
Transcribed Image Text:3. Suppose f:Z Z has the rule in) = n - 1. (a) Determine if f is a function (b) Determine whether f is surjection onto Z and show why. Ans: True (c) Determine whether f is injection into Z and show why. Ans: True 4. Let Ar)-Lr51 Find AS) if S is (-2,-1,0,1.2,3}.
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