Higher January 2022 Paper 2R Q11
11
(a) Complete the table of values for \(y = \dfrac{6}{x}\) (2)
| \(x\) | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|---|
| \(y\) | 6 | 2 | 1 |
(b) On the grid, draw the graph of \(y = \dfrac{6}{x}\) for \(0.5 \leqslant x \leqslant 6\) (2)
| Scheme | Marks | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: Correct table | B2 | ||||||||||||||||
| (2) |
Notes
B2: for all 4 correct values oe (ie \(\dfrac{6}{5}\) or \(\dfrac{3}{2}\))
(B1 for 2 or 3 correct values)
| Scheme | Marks |
|---|---|
 Answer: Correct graph 7 points joined by a smooth curve. | M1ft |
| A1ft | |
| (2) | |
| (4 marks) |
Notes
M1ft: (dep B1 in (a)) for 6 or 7 points plotted correctly using their values (within the circles on overlay).
May be implied by curve passing through correct point.
A1ft: only allow one incorrect value from the table in (a), and for a curve that is decreasing throughout for \(x = 0.5\) to \(x = 6\).
Ignore graph to the right of \((6, 1)\) and to the left of \((0.5, 12)\)