O-LevelMathematicsAlgebra and graphs4024/21 · May/June 2022 · Q57 Marks
(a) Complete the table of values for y = x³ - 4x + 3. (b) Draw the graph of y = x³ - 4x + 3 for -3 ≤ x ≤ 3. [Figure showing a graph grid]
- (a)Complete the table of values for y = x³ - 4x + 3. [Table with x from -3 to 3 and y values][1]
- (b)Draw the graph of y = x³ - 4x + 3 for -3 ≤ x ≤ 3.[3]
- (c)By drawing a suitable straight line on your graph, find the solutions of the equation x³ - 4x - 2 = 0.[3]
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Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [1] -12
- [3] Correct smooth curve
- B2FT for 6 or 7 points correctly plotted or B1FT for 4 or 5 points correctly plotted
- [3] Ruled line y = 5
- M1
- A2 -1.8 to -1.5, -0.6 to -0.3, 2.1 to 2.5
- A1 for two correct
- After 0 scored, SC1 for three correct solutions or x³ - 4x + 3 = 5 soi or for three correct solutions from their horizontal line drawn
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