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Relations and Functions — MATHS STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 ScienceMATHSRelations and Functions1 Mark
Question
Find the range of the following functions given by:
f(x) = 1 - x - 2
✓

Answer

 We know that,$|\text{x}-2|\geq0$
$\Rightarrow-|\text{x}-2|\leq0$
$\Rightarrow1-|\text{x}-2|\leq1$
$\Rightarrow\text{f(x)}\leq1$
$\therefore$ Range of f is $(-\infty, 11]$

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