AQA C3 2007 January — Question 7

Exam BoardAQA
ModuleC3 (Core Mathematics 3)
Year2007
SessionJanuary
TopicModulus function

7
  1. Sketch the graph of \(y = | 2 x |\).
  2. On a separate diagram, sketch the graph of \(y = 4 - | 2 x |\), indicating the coordinates of the points where the graph crosses the coordinate axes.
  3. Solve \(4 - | 2 x | = x\).
  4. Hence, or otherwise, solve the inequality \(4 - | 2 x | > x\).