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

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.3: Properties Of Functions
Problem 4E: Which of the following rules define y as a function of x? x y 9 3 4 2 1 1 0 0 1 -1 4 -2 9 -3
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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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