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Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions1 Mark
Question
Find the range of $f(x) = x^2 + 2, x$ is a real number.
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Answer

Here we have, $f(x) = x^2+ 2, x$ is a real number.
As $x^2> 0$
$\Rightarrow x^{2}+2>0+2$
$\Rightarrow x^{2}+2>2$
$\Rightarrow f(x)>2$
Hence, range of $f(x) = [2, \infty)$

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