CAIE P2 2023 November — Question 4

Exam BoardCAIE
ModuleP2 (Pure Mathematics 2)
Year2023
SessionNovember
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Mark schemeDownload PDF ↗
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.
4 (a) Sketch, on the same diagram, the graphs of $y = | 3 x - 5 |$ and $y = 2 x + 7$.\\
(b) Solve the equation $| 3 x - 5 | = 2 x + 7$.\\

(c) Hence solve the equation $\left| 3 ^ { y + 1 } - 5 \right| = 2 \times 3 ^ { y } + 7$, giving your answer correct to 3 significant figures.\\

\hfill \mbox{\textit{CAIE P2 2023 Q4}}
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