OCR AS Pure 2017 Specimen — Question 7

Exam BoardOCR
ModuleAS Pure (AS Pure Mathematics)
Year2017
SessionSpecimen
TopicInequalities

7
  1. Sketch the curve \(y = 2 x ^ { 2 } - x - 3\).
  2. Hence, or otherwise, solve \(2 x ^ { 2 } - x - 3 < 0\).
  3. Given that the equation \(2 x ^ { 2 } - x - 3 = k\) has no real roots, find the set of possible values of k .