11.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{e28350e9-5090-4079-97da-e669ef9a5a7a-30_677_817_251_621}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of the graph with equation
$$y = 2 | x + 4 | - 5$$
The vertex of the graph is at the point \(P\), shown in Figure 2.
- Find the coordinates of \(P\).
- Solve the equation
$$3 x + 40 = 2 | x + 4 | - 5$$
A line \(l\) has equation \(y = a x\), where \(a\) is a constant.
Given that \(l\) intersects \(y = 2 | x + 4 | - 5\) at least once, - find the range of possible values of \(a\), writing your answer in set notation.