Problem #542
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542
The function f is defined by \(f : x \mapsto 5 - 3 \sin 2x\) for \(0 \leq x \leq \pi\).
(i) Find the range of \(f\). [2]
(ii) Sketch the graph of \(y = f(x)\). [3]
(iii) State, with a reason, whether \(f\) has an inverse. [1]
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