CAIE P2 2021 November — Question 2

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2021
SessionNovember
TopicModulus function

2
  1. Sketch, on the same diagram, the graphs of \(y = x + 3\) and \(y = | 2 x - 1 |\).
  2. Solve the equation \(x + 3 = | 2 x - 1 |\).
  3. Find the value of \(y\) such that \(5 ^ { \frac { 1 } { 2 } y } + 3 = \left| 2 \times 5 ^ { \frac { 1 } { 2 } y } - 1 \right|\). Give your answer correct to 3 significant figures.