7 The sketch below shows part of the graph of \(y = \frac { x - 1 } { ( x - 2 ) ( x + 3 ) ( 2 x + 3 ) }\). One section of the graph has been omitted.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{225bff01-f2c4-421f-ac91-c6a0fcb01e6f-3_842_1198_477_552}
\captionsetup{labelformat=empty}
\caption{Fig. 7}
\end{figure}
- Find the coordinates of the points where the curve crosses the axes.
- Write down the equations of the three vertical asymptotes and the one horizontal asymptote.
- Copy the sketch and draw in the missing section.
- Solve the inequality \(\frac { x - 1 } { ( x - 2 ) ( x + 3 ) ( 2 x + 3 ) } \geqslant 0\).