CAIE P2 2023 November — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2023
SessionNovember
TopicModulus function

4
  1. Sketch, on the same diagram, the graphs of \(y = | 3 x - 5 |\) and \(y = 2 x + 7\).
  2. Solve the equation \(| 3 x - 5 | = 2 x + 7\).
  3. Hence solve the equation \(\left| 3 ^ { y + 1 } - 5 \right| = 2 \times 3 ^ { y } + 7\), giving your answer correct to 3 significant figures.