Foundation November 2023 Paper 2 Q20
20 Here is a table of values for \(y = \dfrac{6}{x} + 2\).
| \(x\) | \(-6\) | \(-3\) | \(-2\) | \(-1\) | 1 | 2 | 3 | 6 |
|---|---|---|---|---|---|---|---|---|
| \(y\) | 1 | 0 | \(-1\) | \(-4\) | 8 | 5 | 4 | 3 |
Draw the graph of \(y = \dfrac{6}{x} + 2\) for \(-6 \leqslant x \leqslant 6\), \(x \ne 0\).
[3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct graph | 3 | Curves must not be joined, nor touch either axis except at \(x = -3\), B2 for 7 or 8 correct plots or B1 for 5 or 6 correct plots | Use overlay as a guide accuracy \(\pm \frac{1}{2}\) box radially Mark curve first Condone slight feathering No ruled segments If no plot, curve implies plot Condone continuation of graph after \((-1, -4)\) or before \((1, 8)\) if graph continues to decrease/increase and does not touch \(y\)-axis |