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Is the given relation a function? Give reasons for your answer. g = nnnn,1n∣n is a positive integer - Mathematics

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Question

Is the given relation a function? Give reasons for your answer.

g = `"n", 1/"n" |"n"` is a positive integer

Sum
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Solution

g = `"n", 1/"n" |"n"` is a positive integer

Therefore, the element n is a positive integer and the corresponding `1/"n"` will be a unique and distinct number.

Therefore, every element in the domain has unique image.

A relation is said to be function if every element of one set has one and only one image in other set.

Hence, g is a function.

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Chapter 2: Relations and Functions - Exercise [Page 28]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 2 Relations and Functions
Exercise | Q 10.(iii) | Page 28

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