OCR C1 2015 June — Question 8

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2015
SessionJune
TopicQuadratic Functions

8
  1. Sketch the curve \(y = 2 x ^ { 2 } - x - 3\), giving the coordinates of all points of intersection with the axes.
  2. Hence, or otherwise, solve the inequality \(2 x ^ { 2 } - x - 3 > 0\).
  3. Given that the equation \(2 x ^ { 2 } - x - 3 = k\) has no real roots, find the set of possible values of the constant \(k\).