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Relations and Functions — MATHS STD 10 — Question

Tamilnadu BoardEnglish MediumSTD 10MATHSRelations and Functions5 Marks
Question
Represent the given relation by
(a) an arrow diagram
(b) a graph and
(c) a set in roster form, wherever possible
{(x, y) | x = 2y, x ∈ {2, 3, 4, 5}, y ∈ {1, 2, 3, 4}
✓

Answer

$
\begin{aligned}
& x=\{2,3,4,5\} y=\{1,2,3,4\} \\
& x=2 y
\end{aligned}
$
when $y=1 \Rightarrow x=2 \times 1=2$
when $y=2 \Rightarrow x=2 \times 2=4$
when $y=3 \Rightarrow r=2 \times 3=6$
when $y=4 \Rightarrow x=2 \times 4=8$
(a) Arrow diagram


(b) Graph


(c) Roster form R = {(2, 1) (4, 3)}

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