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RELATIONS AND FUNCTIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
Question
Let f be a subset of Z $\times$ Z defined by f = {ab, a + b ) : a, b $ \in $ Z}. Is f a function from Z to Z? Justify your answer.
✓

Answer

We observe that 1 $\times$ 4 = 4 and 2 $\times$ 2 = 4
(1 $\times$ 4, 1 + 4) $\in$ f and (2 $\times$ 2, 2 + 2) $\in$ f and (4, 4) $\in$ f
Which shows that f is not a function from Z to Z.

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