The function f is defined by \(f : x \mapsto 4 \sin x - 1\) for \(-\frac{1}{2}\pi \leq x \leq \frac{1}{2}\pi\).

1. State the range of \(f\). [2]
2. Find the coordinates of the points at which the curve \(y = f(x)\) intersects the coordinate axes. [3]
3. Sketch the graph of \(y = f(x)\). [2]
4. Obtain an expression for \(f^{-1}(x)\), stating both the domain and range of \(f^{-1}\). [4]