| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2020 |
| Session | December |
| Marks | 4 |
| Topic | Modulus function |
| Type | Sketch y=|linear| and y=linear, solve inequality: numeric coefficients |
| Difficulty | Moderate -0.3 Part (i) is a routine sketch of a modulus function requiring knowledge of the V-shape transformation. Part (ii) requires solving an inequality by considering two cases (3x-1 ≥ 0 and 3x-1 < 0), which is a standard technique but involves more steps than basic algebra. The 'hence' suggests using the graph, making it slightly easier. Overall, this is slightly below average difficulty—more routine than a typical multi-technique problem but requiring careful case analysis. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02s Modulus graphs: sketch graph of |ax+b| |
\begin{enumerate}[label=(\roman*)]
\item Sketch the graph of $y = |3x - 1|$. [1]
\item Hence, solve $5x + 3 < |3x - 1|$. [3]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS FM 2020 Q3 [4]}}