OCR C1 2013 June — Question 9

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2013
SessionJune
TopicQuadratic Functions

9
  1. Sketch the curve \(y = 2 x ^ { 2 } - x - 6\), giving the coordinates of all points of intersection with the axes.
  2. Find the set of values of \(x\) for which \(2 x ^ { 2 } - x - 6\) is a decreasing function.
  3. The line \(y = 4\) meets the curve \(y = 2 x ^ { 2 } - x - 6\) at the points \(P\) and \(Q\). Calculate the distance \(P Q\).