Answer all the questions below for your SOB to be observed. You will be asked to explain them verbally. 1. Consider the empty relation. Is it reflexive? Symmetric? Transitive? Is it a function? 2. Consider the "greater-than or equal to" relation > defined homogeneously on natural numbers. Is it reflexive? Symmetric? Transitive? Is it an equivalence relation? 3. Give an example of a function whose inverse is also a function. 4. Consider f(x) = x³ defined as f: R R. Is f one-to-one or onto? 5. Let f(x) = x² and g(x) = x+2 where f,g : R R. Compute (fo)(x), (f o g)(x), (g o f)(x). 1/1

Answer all the questions below for your SOB to be observed. You will be asked to explain them verbally. 1. Consider the empty relation. Is it reflexive? Symmetric? Transitive? Is it a function? 2. Consider the "greater-than or equal to" relation > defined homogeneously on natural numbers. Is it reflexive? Symmetric? Transitive? Is it an equivalence relation? 3. Give an example of a function whose inverse is also a function. 4. Consider f(x) = x³ defined as f: R R. Is f one-to-one or onto? 5. Let f(x) = x² and g(x) = x+2 where f,g : R R. Compute (fo)(x), (f o g)(x), (g o f)(x). 1/1

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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Question

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I need question 2,3,4 and 5 please.

Notes
Exercises for SOBS
Answer all the questions below for your SOB to be observed. You will
be asked to explain them verbally.
1. Consider the empty relation. Is it reflexive? Symmetric?
Transitive? Is it a function?
2. Consider the "greater-than or equal to" relation > defined
homogeneously on natural numbers. Is it reflexive? Symmetric?
Transitive? Is it an equivalence relation?
3. Give an example of a function whose inverse is also a function.
4. Consider f(x) = x³ defined as f: R R. Is f one-to-one or onto?
5. Let f(x) = x² and g(x) = x+ 2 where f, g : R R. Compute
(fof)(x), (f o g)(x), (g o f)(x).
1/1
%D

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