| Exam Board | OCR MEI |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2023 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Composite & Inverse Functions |
| Type | Transformations of functions |
| Difficulty | Easy -1.3 This is a straightforward question requiring simple substitution to find k=4, followed by sketching a standard reciprocal square function. Both parts are routine exercises with no problem-solving or novel insight required, making it easier than average. |
| Spec | 1.02o Sketch reciprocal curves: y=a/x and y=a/x^2 |
| Answer | Marks |
|---|---|
| \(4\) | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| Correct shape in both quadrants | B1 | Correct shape in both quadrants |
| Reasonably symmetrical about \(y\)-axis, must not cut either axis or bend away excessively | Dep B1 | Condone slight feathering and slight asymmetry along \(y\)-axis |
# Question 4:
## Part (a)
$4$ | B1 |
## Part (b)
Correct shape in both quadrants | B1 | Correct shape in both quadrants
Reasonably symmetrical about $y$-axis, must not cut either axis or bend away excessively | Dep B1 | Condone slight feathering and slight asymmetry along $y$-axis
---4 The equation of a curve is $\mathrm { y } = \frac { \mathrm { k } } { \mathrm { x } ^ { 2 } }$, where $k$ is a constant.\\
The curve passes through the point $( 2,1 )$.
\begin{enumerate}[label=(\alph*)]
\item Find the value of $k$.
\item Sketch the curve.
\end{enumerate}
\hfill \mbox{\textit{OCR MEI AS Paper 2 2023 Q4 [3]}}