7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{f3272b4c-d8dc-4f32-add9-153de90f4d0a-18_720_746_210_591}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of part of the graph with equation \(y = \mathrm { f } ( x )\), where
$$f ( x ) = \frac { 1 } { 2 } | 2 x + 7 | - 10$$
- State the coordinates of the vertex, V, of the graph.
- Solve, using algebra,
$$\frac { 1 } { 2 } | 2 x + 7 | - 10 \geqslant \frac { 1 } { 3 } x + 1$$
- Sketch the graph with equation
$$y = | \mathrm { f } ( x ) |$$
stating the coordinates of the local maximum point and each local minimum point.