Foundation June 2017 Paper 3 Q21
21
(a) Complete the table for \(y = x^2 - 2x\).
| \(x\) | \(-1\) | \(0\) | \(1\) | \(2\) | \(3\) | \(4\) |
|---|---|---|---|---|---|---|
| \(y\) | \(3\) | \(0\) | \(-1\) | \(0\) | \(3\) |
[1]
(b) Draw the graph of \(y = x^2 - 2x\) for \(-1 \leqslant x \leqslant 4\).
[2]
(c) Use your graph to solve \(x^2 - 2x = 2\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 8 | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| Correct curve | 2 | B1FT for 4, 5 or 6 points plotted correctly | \(\frac{1}{2}\) square tolerance B1 max if line ruled (between any points) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(-0.9\) to \(-0.6\) 2.6 to 2.9 | 2 | B1 for each If 0 scored SC1 for (\(-0.9\) to \(-0.6\), 2) and (2.6 to 2.9, 2) If 0 scored SC1 for answer as an inequality Eg \(-0.8 \leqslant x \leqslant 2.7\) | If more than two answers mark the worst two Condone for 2 marks when both answers in body but only one given on answer line |