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Is the given relation a function? Give reasons for your answer. h = {(4, 6), (3, 9), (– 11, 6), (3, 11)}

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Question

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

h = {(4, 6), (3, 9), (– 11, 6), (3, 11)}

Sum
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Solution

h = {(4, 6), (3, 9), (– 11, 6), (3, 11)}

Therefore, element 3 has two images, namely, 9 and 11.

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

Hence, h is not a function.

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

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

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