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JEE MATHEMATICS MCQ: FUNCTIONS

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The simplified form of f(x)=∣x−2∣+∣2−x∣,−3≤x≤3f(x)=|x-2|+|2-x|,-3 \leq x \leq 3 is
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Correct option: A
{2x,2≤x≤34,−2≤x<2−2x,−3≤x<−2\left\{\begin{array}{cc}2 x, & 2 \leq x \leq 3 \\ 4, & -2 \leq x<2 \\ -2 x, & -3 \leq x<-2\end{array}\right.
Option D (R4={(1,3),(2,5),(2,4),(7,9)}R_4=\{(1,3),(2,5),(2,4),(7,9)\}) is not a relation from XX to YY because the element (2,4) and (7,9) are not in X×YX \times Y.

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