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Find the range of the function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined as $f(x)=\sin (x)$.
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For any real value $x,-1 \leq \sin (x) \leq 1 .$ Also, all values in $[-1,1]$ are covered by $\sin (x)$. Thus, Range $(f)=[-1,1] .$
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