Functions - Range of a Function

Write down the range of the following function.

1. \(\mathrm{f} : x \mapsto 5 - 2x\), \(x > -1\)
2. \(\mathrm{g} : x \mapsto (x + 3)^2 - 4\), \(x \in \mathbb{R}\)
3. \(\mathrm{h} : x \mapsto -(x - 2)^2 + 3\), \(x \in \mathbb{R}\)
4. \(\mathrm{i} : x \mapsto -(x + 3)^2 + 1\), \( -4 \le x <0\)
5. \(\mathrm{j} : x \mapsto x^2 + 4\), \( -2 < x \leq 1\)
6. \(\mathrm{k} : x \mapsto x^3 - 2\), \(-2 \le x \le 3\)
7. \(\mathrm{l} : x \mapsto \sqrt{16 - x^2}\), \(-4 < x \le 2\)
8. \(\mathrm{m} : x \mapsto -\sqrt{49 - x^2}\), \(-1 \le x <3\)