Edexcel C3 2012 June — Question 4

Exam BoardEdexcel
ModuleC3 (Core Mathematics 3)
Year2012
SessionJune
TopicModulus function

4. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{3fbdfb55-5dd5-44ab-b031-d39e64bdfc3b-06_560_1145_210_386} \captionsetup{labelformat=empty} \caption{Figure 2}
\end{figure} Figure 2 shows part of the curve with equation \(y = \mathrm { f } ( x )\)
The curve passes through the points \(P ( - 1.5,0 )\) and \(Q ( 0,5 )\) as shown.
On separate diagrams, sketch the curve with equation
  1. \(y = | f ( x ) |\)
  2. \(y = \mathrm { f } ( | x | )\)
  3. \(y = 2 f ( 3 x )\) Indicate clearly on each sketch the coordinates of the points at which the curve crosses or meets the axes.