| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Modulus function |
| Type | Graph y = a|bx+c| + d: identify vertex and intercepts |
| Difficulty | Easy -1.3 This is a straightforward substitution question requiring students to find intercepts of a given modulus function by setting x=0 and y=0. It involves only basic algebraic manipulation and understanding that |x-1|=0 when x=1, with no problem-solving or conceptual challenge beyond direct application of the modulus definition. |
| Spec | 1.02l Modulus function: notation, relations, equations and inequalities1.02s Modulus graphs: sketch graph of |ax+b| |
| Answer | Marks | Guidance |
|---|---|---|
| \(g(x) = 2 | x-1 | \) |
| \(b = 2 | 0-1 | = 2\) or \((0, 2)\) |
| \(2 | x-1 | = 0\) |
| \(\Rightarrow x=1\), so \(a=1\) or \((1,0)\) | A1 | www |
| [3] |
## Question 8:
| $g(x) = 2|x-1|$ | | Allow unsupported answers |
|---|---|---|
| $b = 2|0-1| = 2$ or $(0, 2)$ | B1 | www |
| $2|x-1| = 0$ | M1 | $|x|=1$ is A0 |
| $\Rightarrow x=1$, so $a=1$ or $(1,0)$ | A1 | www |
| **[3]** | | |
---8 Fig. 4 shows a sketch of the graph of $y = 2 | x - 1 |$. It meets the $x$ - and $y$-axes at ( $a , 0$ ) and ( $0 , b$ ) respectively.
\begin{figure}[h]
\begin{center}
\includegraphics[alt={},max width=\textwidth]{125b76c1-5ab3-4645-a3c4-cf167a04f453-2_478_546_1299_834}
\captionsetup{labelformat=empty}
\caption{Fig. 4}
\end{center}
\end{figure}
Find the values of $a$ and $b$.
\hfill \mbox{\textit{OCR MEI C3 Q8 [3]}}