11.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{a75c9ef7-b648-47be-bad1-fc8b315be3df-14_570_556_205_758}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of part of the graph \(y = \mathrm { f } ( x )\), where
$$\mathrm { f } ( x ) = 2 | 3 - x | + 5 , \quad x \geqslant 0$$
- State the range of f
- Solve the equation
$$f ( x ) = \frac { 1 } { 2 } x + 30$$
Given that the equation \(\mathrm { f } ( x ) = k\), where \(k\) is a constant, has two distinct roots, (c) state the set of possible values for \(k\).