\begin{figure}[h]
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\caption{Figure 1}
\includegraphics[alt={},max width=\textwidth]{f0f328ed-3550-4b8d-8b80-016df8773b21-04_568_881_312_504}
\end{figure}
Figure 1 shows part of the curve with equation \(y = \mathrm { f } ( x ) , x \in \mathbb { R }\), where f is an increasing function of \(x\). The curve passes through the points \(P ( 0 , - 2 )\) and \(Q ( 3,0 )\) as shown.
In separate diagrams, sketch the curve with equation
- \(y = | f ( x ) |\),
- \(y = \mathrm { f } ^ { - 1 } ( x )\),
- \(y = \frac { 1 } { 2 } \mathrm { f } ( 3 x )\).
Indicate clearly on each sketch the coordinates of the points at which the curve crosses or meets the axes.