5.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{44035bf8-f54c-472a-b969-b4fa4fa3d203-14_668_812_258_566}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows part of the graph with equation \(y = \mathrm { f } ( x )\), where
$$\mathrm { f } ( x ) = | k x - 9 | - 2 \quad x \in \mathbb { R }$$
and \(k\) is a positive constant.
The graph intersects the \(y\)-axis at the point \(A\) and has a minimum point at \(B\) as shown.
- Find the \(y\) coordinate of \(A\)
- Find, in terms of \(k\), the \(x\) coordinate of \(B\)
- Find, in terms of \(k\), the range of values of \(x\) that satisfy the inequality
$$| k x - 9 | - 2 < 0$$
Given that the line \(y = 3 - 2 x\) intersects the graph \(y = \mathrm { f } ( x )\) at two distinct points,
- find the range of possible values of \(k\)