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Is the following relation a function? Justify your answer R1 = {(2,3),(12,0),(2,7),(-4,6)}

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Question

Is the following relation a function? Justify your answer

R1 = `{(2, 3), (1/2, 0), (2, 7), (-4, 6)}`

Sum
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Solution

Since (2, 3) and (2, 7) ∈ R1

⇒ R1 (2) = 3 and R1 (2) = 7

So R1 (2) does not have a unique image.

Thus R1 is not a function.

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Chapter 2: Relations and Functions - Solved Examples [Page 24]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 2 Relations and Functions
Solved Examples | Q 5.(i) | Page 24

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