The range on a restricted domain

The range on a restricted domain

5 marks
TGM Original
Find the range of f(x)=3sin(2x)-1 on 0 <= x <= pi6, with x measured in radians. Justify whether each finite boundary value is attained.

Solution:

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Answer:\(\left[-1,-1 + \dfrac{3 \sqrt{3}}{2}\right]\).

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