| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2020 |
| Session | October |
| Marks | 8 |
| Topic | Modulus function |
| Type | Solve |linear| > |linear| |
| Difficulty | Standard +0.3 This question involves standard transformations of modulus functions and solving a modulus inequality. Part (i) requires identifying a horizontal translation and stretch, which is routine A-level content. Part (ii) involves squaring both sides or considering cases to solve the inequality, which is a standard technique covered in C1/C2. The 8 marks total and straightforward application of known methods place this slightly easier than average. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02w Graph transformations: simple transformations of f(x) |
\begin{enumerate}[label=(\roman*)]
\item Give full details of a sequence of two transformations needed to transform the graph $y = |x|$ to the graph of $y = |2(x + 3)|$. [3]
\item Solve $|x| > |2(x + 3)|$, giving your answer in set notation. [5]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS FM 2020 Q3 [8]}}