Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Examine each of the following relations given below and state
in each case, giving reasons whether it is a function or not?
(i) R = {(4, 1), (5, 1), (6, 7)}
(ii) R = {(2, 3), (2, 5), (3, 3), (6, 6)}
(iii) R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)}
(iv) R = {(1, 1), (2, 1), (3, 1), (4, 1), (5, 1)}
Transcribed Image Text:Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not? (i) R = {(4, 1), (5, 1), (6, 7)} (ii) R = {(2, 3), (2, 5), (3, 3), (6, 6)} (iii) R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)} (iv) R = {(1, 1), (2, 1), (3, 1), (4, 1), (5, 1)}
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