Higher June 2021 Paper 2 Q15
15
(a) Complete the table of values for \(y = \dfrac{1}{x}(x^2 + 4)\) (2)
| \(x\) | 0.25 | 0.5 | 1 | 2 | 4 | 8 |
|---|---|---|---|---|---|---|
| \(y\) | 16.25 | 8.5 |
(b) On the grid, draw the graph of \(y = \dfrac{1}{x}(x^2 + 4)\) for \(0.25 \leqslant x \leqslant 8\) (2)
| Scheme | Marks |
|---|---|
| 8.5, 5, 4, 5 | B2 |
| (2) |
Notes
B2: all 4 correct (allow eg 5.0 for 5)
(B1 for 2 or 3 correct)
| Scheme | Marks |
|---|---|
| M1 | |
| fully correct graph | A1 |
| (2) | |
| (4 marks) |
Notes
M1: ft their table dep on B1 scored in (a) for 5 or 6 points plotted correctly (tolerance 1 small square)
A1: A fully correct graph – correct points plotted correctly (within tolerance of 1 small square) and intention to join with a smooth curve (be generous if intention is clearly a smooth curve through all points)
NB: If a student has nothing in the table for part (a) but draws a fully correct graph in part (b) award the marks in part (a)