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The domain of the function $f$ is the set $(-\mathrm{\infty };\frac{1}{2})\cup (\frac{1}{2};\mathrm{\infty })$.

The range of the function $f$ is the set $[0;2)\cup (2;\mathrm{\infty })$.

The function $f$ has the minimum at $x=4$.

The function $f$ is an injective (one-to-one) function.