CAIE P1 2009 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2009
SessionNovember
TopicCurve Sketching
TypeRange from trigonometric functions
4 The function f is defined by f : \(x \mapsto 5 - 3 \sin 2 x\) for \(0 \leqslant x \leqslant \pi\).
  1. Find the range of f .
  2. Sketch the graph of \(y = \mathrm { f } ( x )\).
  3. State, with a reason, whether f has an inverse.
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