3.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{c78b0245-5c5a-407f-ad8a-602949a76e05-04_620_1095_223_420}
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\caption{Figure 1}
\end{figure}
Figure 1 shows part of the curve with equation \(y = \mathrm { f } ( x ) , x \in \mathbb { R }\).
The curve passes through the points \(Q ( 0,2 )\) and \(P ( - 3,0 )\) as shown.
- Find the value of ff(-3).
On separate diagrams, sketch the curve with equation
- \(y = \mathrm { f } ^ { - 1 } ( x )\),
- \(y = \mathrm { f } ( | x | ) - 2\),
- \(y = 2 \mathrm { f } \left( \frac { 1 } { 2 } x \right)\).
Indicate clearly on each sketch the coordinates of the points at which the curve crosses or meets the axes.