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Question
Answer the following:
Identify the following relation is the function? If it is a function determine its domain and range.
{(0, 0), (1, 1), (1, –1), (4, 2), (4, –2), (9, 3), (9, –3), (16, 4), (16, –4)}
Sum
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Solution
{(0, 0), (1, 1), (1, –1), (4, 2), (4, –2), (9, 3), (9, –3), (16, 4), (16, –4)}
∵ (1, 1), (1, –1) ∈ the relation
∴ Given relation is not the function.
As the element 1 of domain has not been assigned a unique element of co-domain.
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Chapter 6: Functions - Miscellaneous Exercise 6.2 [Page 130]
