Functions - Range of a Function

Functions - Range of a Function

TGM Original Questions

Find the exact range of each of the following functions:

\(\mathrm{h}:x\mapsto \frac{x}{1+{{x}^{2}}},x\in \mathbb{R},x\ne 0\)

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Answer:\(R_h = \left[-\displaystyle\frac{1}{2}, 0\right) \cup \left(0, \displaystyle\frac{1}{2}\right]\)

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