O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2020 · Q47 Marks
Complete the table for y = 4/5 × 2^x. x | -3 | -2 | -1 | 0 | 1 | 2 | 3 --|----|----|----|---|---|---|--- y | | 0.2| 0.4| 0.8| 1.6| 3.2| 6.4
- (a)Complete the table for y = 4/5 × 2^x. x | -3 | -2 | -1 | 0 | 1 | 2 | 3 --|----|----|----|---|---|---|--- y | | 0.2| 0.4| 0.8| 1.6| 3.2| 6.4[1]
- (b)On the grid, draw the graph of y = 4/5 × 2^x for -3 ≤ x ≤ 3.[3]
- (c)By drawing a tangent, estimate the gradient of y = 4/5 × 2^x when x = 2.[2]
- (d)Use your graph to estimate the solution of the equation 4 × 2^x = 5.[1]
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Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [1] 0.1 oe
- [3] Correct smooth curve B2FT for 6 or 7 points correctly plotted or B1FT for 4 or 5 points correctly plotted
- [2] Tangent drawn at (2, 3.2) B1 1.8 to 2.4 B1 Dependent on close attempt at tangent
- [1] 0.25 to 0.4
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