6.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{1c700103-ecab-4a08-b411-3f445ed88885-18_736_1102_258_427}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows part of the graph with equation \(y = \mathrm { f } ( x )\), where
$$\mathrm { f } ( x ) = 2 | 2 x - 5 | + 3 \quad x \geqslant 0$$
The vertex of the graph is at point \(P\) as shown.
- State the coordinates of \(P\).
- Solve the equation \(\mathrm { f } ( x ) = 3 x - 2\)
Given that the equation
$$f ( x ) = k x + 2$$
where \(k\) is a constant, has exactly two roots,
- find the range of values of \(k\).