8 In this question you must show detailed reasoning.
- Use differentiation to find the coordinates of the stationary point on the curve with equation \(y = 2 x ^ { 2 } - 3 x - 2\).
- Use the second derivative to determine the nature of the stationary point.
- Show by shading on a sketch the region defined by the inequality \(y \geqslant 2 x ^ { 2 } - 3 x - 2\), indicating clearly whether the boundary is included or not.
- Solve the inequality \(2 x ^ { 2 } - 3 x - 2 > 0\) using set notation for your answer.