7 A curve has equation \(y = 2 + 3 \sin \frac { 1 } { 2 } x\) for \(0 \leqslant x \leqslant 4 \pi\).
- State greatest and least values of \(y\).
- Sketch the curve.
\includegraphics[max width=\textwidth, alt={}, center]{77f27b11-b931-481f-b4ef-5e549eff8086-09_1127_1219_904_495} - State the number of solutions of the equation
$$2 + 3 \sin \frac { 1 } { 2 } x = 5 - 2 x$$
for \(0 \leqslant x \leqslant 4 \pi\).