Sarthaks Test
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Is the following relation a function? Justify your answer

(i) R1 = {(2, 3), (1/2 ,0), (2, 7), (– 4, 6)}

(ii) R2 = {(x, |x|) | x is a real number}

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(i) 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.

(ii) R2 = {(x, |x |) / x ∈R}

For every x ∈ R there will be unique image as |x| ∈ R.

Therefore R2 is a function.

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