The range on a restricted domain

The range on a restricted domain

5 marks
TGM Original

Find the range of \(f(x)=2\sin\left(x\right)-1\) on \(20^\circ\le x\le70^\circ\), with \(x\) measured in degrees. Justify whether each finite boundary value is attained. Give the boundaries to 3 decimal places.[5]

Solution:

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Answer:\([-0.316,0.879]\) (3 d.p.).

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