O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2018 · Q59 Marks
(a) Complete the table for y = x/5 (6 + 2x - x²). [Table 5.1]
- (a)Complete the table for y = x/5 (6 + 2x - x²).[1]
- (b)Draw the graph of y = x/5 (6+2x-x²) for -3 ≤ x ≤ 4. [Figure 5.1][3]
- (c)By drawing a tangent, estimate the gradient of y = x/5 (6+2x-x²) at (-2, 0.8).[2]
- (d)Use your graph to solve the equation x(6 + 2x – x²) = 10.[3]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [1] -1.6 oe
- [3] Correct smooth curve
- B2FT for 7 or 8 points correctly plotted
- or B1FT for 5 or 6 points correctly plotted
- [B1] Tangent drawn at (-2, 0.8)
- [B1] -3.1 to -2.2
- Dependent on tangent drawn at x = −2
- [3] FT reading their graph at y = 2
- Tolerance ± 1 mm
- B1 for each one correct
- After 0 scored, SC1 for y = 2 soi
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