Higher November 2024 Paper 1 Q11
11
(a) Complete the table of values for \(y = 2\left(x + \dfrac{1}{x}\right)\) (2)
| \(x\) | 0.5 | 1 | 2 | 3 | 4 | 5 | 6 |
| \(y\) | 5 | 6.7 | 12.3 |
(b) On the grid, draw the graph of \(y = 2\left(x + \dfrac{1}{x}\right)\) for \(0.5 \leqslant x \leqslant 6\) (2)
| Scheme | Marks | ||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Answer: Four correct values | B2 | ||||||||||||||||
| (2) |
Notes
B2: oe
(B1 for 2 or 3 correct values of \(y\))
May be awarded if plotted correctly on the graph
| Scheme | Marks |
|---|---|
| Correct graph | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) | A1 |
| (2) | |
| (4 marks) |
Notes
M1: ft their table dep on B1for at least 6 points plotted correctly (within or on the circles on the overlay)
A1: for correct curve between \(x = 0.5\) and \(x = 6\)
Note: If a fully correct graph is shown, but an incomplete table is shown in (a), then award the marks for (a)
Ignore curve drawn for \(x \lt 0.5\) and \(x \gt 6\)