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Parabola $x^2$ on the left and its fenced representation on the right.
$$\tau : \mathbb{R} \rightarrow (-1, 1)\qquad\qquad \tau(x)=\frac{x}{1+\mid x \mid}$$
The parabola $x^2$ has one axial symmetry and two branch symmetrie about a point.
Left: Fenced representation of the parabola $x^2$ interpreted as the input function.
Right: Fenced representation of it.