O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2022 · Q38 Marks
[Figure 3.1] (Grid for plotting graph)
- (a)Complete the table for y = x³/2 - 3x + 2. x | -3 | -2 | -1 | 0 | 1 | 2 | 3 y | -2.5 | 4 | 4.5 | 2 | -0.5 | 0 |[1]
- (b)On the grid, draw the graph of y = x³/2 - 3x + 2 for -3 ≤ x ≤ 3.[3]
- (c)Write down the coordinates of the minimum point of your graph for x > 0.[2]
- (d)Use your graph to solve the equation x³/2 - 3x + 2 = 0.[2]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [1] (a) 6.5 oe
- [3] (b) Correct smooth curve; B2FT for 6 or 7 points correctly plotted or B1FT for 4 or 5 points correctly plotted
- [2] (c) Coordinates of minimum of their curve; Dependent on a single local minimum below the x-axis B1 for one correct After 0 scored, SC1 for (3, their negative y < -0.5)
- [2] (d) Reading at y = 0; B1 for two correct values
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