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MAT1514 ASSIGNMENT 1 2024 SOLUTIONS $3.86
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MAT1514 ASSIGNMENT 1 2024 SOLUTIONS

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  • April 15, 2024
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MAT1514
ASSIGNMENT 1
2024

, QUESTION 1




Solution:



1.1)



A function f: X → Y is a relation between two sets X and Y such that each element x ∈ X
is associated to one and only one element y ∈ Y.




This relation is a function



1.2)



y 2 + 16 = x

y 2 = x − 16

y = ±√x − 16

y = +√x − 16 or y = −√x − 16
Here we can see that here one element x is associated to more than one element y. The relation
is not a function.

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