7.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{db979349-3415-420f-a39f-8cc8c24a69d0-16_732_1071_248_497}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows the curve with equation \(y = \mathrm { f } ( x )\).
The points \(P ( - 4,6 ) , Q ( - 1,6 ) , R ( 2,6 )\) and \(S ( 3,6 )\) lie on the curve.
- Using Figure 1, find the range of values of \(x\) for which
$$\mathrm { f } ( x ) < 6$$
- State the largest solution of the equation
$$f ( 2 x ) = 6$$
- Sketch the curve with equation \(y = \mathrm { f } ( - x )\).
On your sketch, state the coordinates of the points to which \(P , Q , R\) and \(S\) are transformed.
- Hence find the set of values of \(x\) for which
$$f ( - x ) \geqslant 6 \text { and } x < 0$$