Edexcel C1 — Question 8

Exam BoardEdexcel
ModuleC1 (Core Mathematics 1)
TopicCurve Sketching
TypeSolutions from graphical analysis

8. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{d05cfae5-1d1d-4c90-80df-2975b9481c82-3_522_844_1235_379} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows the graph of \(y = \mathrm { f } ( x )\).
  1. Write down the number of solutions that exist for the equation
    1. \(\mathrm { f } ( x ) = 1\),
    2. \(\mathrm { f } ( x ) = - x\).
  2. Labelling the axes in a similar way, sketch on separate diagrams the graphs of
    1. \(\quad y = \mathrm { f } ( x - 2 )\),
    2. \(y = \mathrm { f } ( 2 x )\).