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Relations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsRelations2 Marks
Question
Determine the domain and range of the following relations: $\text{S}=\{(\text{a, b}):\text{b}=|\text{a}-1|,\text{ a}\in\text{Z and |a|}\leq3\}$
✓

Answer

We have,
$\text{S}=\{(\text{a, b}):\text{b}=|\text{a}-1|,\text{ a}\in\text{Z and |a|}\leq3\}$
⇒ a = -3, -2, -1, 0, 1, 2, 3
For a = -3, -2, -1, 0, 1, 2, 3 we get
b = 4, 3, 2, 1, 0, 1, 2 respectively.
Thus, S = {(-3, 4), (-2, 3), (-1, 2), (0, 1), (2, 1), (3, 2)}
Domain(S) = {-3, -2, -1, 0, 1, 2, 3} and
Range(R) = {0, 1, 2, 3, 4}

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