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Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify. {(1, 0), (3, 3), (2, −1), (4, 1), (2, 2)} - Mathematics and Statistics

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Question

Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify.

{(1, 0), (3, 3), (2, −1), (4, 1), (2, 2)}

Sum

Solution

{(1, 0), (3, 3), (2, –1), (4, 1), (2, 2)} does not represent a function.

Reason:

(2, –1), (2, 2), show that element 2 ∈ A has been assigned two images –1 and 2 from set B.77

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Chapter 6: Functions - Exercise 6.1 [Page 118]

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