Specimen 2020 Paper 1 Q8
8 The curve \(\quad y = 2x^3 - 3x^2 - 12x + 6\)
has a maximum point at \(L\ (-1, 13)\)
has a minimum point at \(M\ (2, -14)\)
intersects the \(y\)-axis at \(N\).
The curve crosses the \(x\)-axis at three distinct points.
On the axes below, sketch the curve.
Label the points \(L\), \(M\) and \(N\) on your sketch. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Correct shape curve crossing \(x\)-axis twice for \(x \gt 0\) crossing \(x\)-axis once for \(x \lt 0\) maximum point \(L\) labelled minimum point \(M\) labelled \(N\ (0, 6)\) labelled | B3 | B2 Correct shape curve crossing \(x\)-axis twice for \(x \gt 0\) crossing \(x\)-axis once for \(x \lt 0\) with incomplete labelling B1 Identifies \(N\) as (0, 6) |