1. Consider the following relations on the set A = {1,2, 3, 4, 5} . (a) R1 = {(1, 1), (1, 2), (3, 3) , (3, 2)} (b) R2 = {(1,1), (2, 2) , (3, 2) , (4, 5) , (5,2)} (c) R3 = {(1,4), (2, 5) , (3, 3) , (4, 2) , (5, 2)} State, with reasons, for (a), (b), (c) whether the relation is: (i) a function from A to A. (ii) an onto function. (iii) a one-to-one function. (iv) an everywhere defined function.

1. Consider the following relations on the set A = {1,2, 3, 4, 5} . (a) R1 = {(1, 1), (1, 2), (3, 3) , (3, 2)} (b) R2 = {(1,1), (2, 2) , (3, 2) , (4, 5) , (5,2)} (c) R3 = {(1,4), (2, 5) , (3, 3) , (4, 2) , (5, 2)} State, with reasons, for (a), (b), (c) whether the relation is: (i) a function from A to A. (ii) an onto function. (iii) a one-to-one function. (iv) an everywhere defined function.

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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