Higher June 2025 Paper 1 Q10
10
(a) Complete the table of values for \(y = x^3 + 2x + 3\) (1)
| \(x\) | \(-3\) | \(-2\) | \(-1\) | 0 | 1 | 2 | 3 |
|---|---|---|---|---|---|---|---|
| \(y\) | \(-9\) | 0 | 3 | 6 | 36 |
(b) On the grid, draw the graph of \(y = x^3 + 2x + 3\) for \(-3 \leqslant x \leqslant 3\) (2)
| Scheme | Marks |
|---|---|
| \(-30\), 15 | B1 |
| (1) |
Notes
B1: for \(-30\) and 15 in the correct place, this may be awarded if plotted correctly on the graph
| Scheme | Marks |
|---|---|
| M1ft | |
 Answer: Correct graph | A1 |
| (2) | |
| (3 marks) |
Notes
M1ft: for at least 6 points plotted correctly (within the circles on the overlay)
ft their incorrect table
A1: for correct curve between \(x = -3\) and \(x = 3\)
(clear intention to go through all the points and which must be curved)
Ignore to the left of \(x = -3\) and to the right of \(x = 3\)
Note: If a fully correct graph is shown, but a blank table is shown in (a), then award the mark for (a)