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Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsFunctions1 Mark
Question
Write the range of the function $\text{f(x)}=\text{e}^{\text{x}-[\text{x}]},\text{x}\in\text{R}$
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Answer

We have,$\text{f}(\text{x})=\text{e}^{\text{x}-[\text{x}]},\text{x}\in\text{R}$
we know that $0\leq\text{x}-[\text{x}]<1$ for all $\text{x}\in\text{R}$
$\therefore$ Range $\big(\text{e}^{\text{x}-[\text{x}]}\big)=[1,\text{e)}$

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