Functions $$\(f\)$$ and $$\(g\)$$ are such that $$\[ \begin{aligned} &\mathrm{f}(x)=2-3 \sin 2 x \text { for } 0 \leqslant x \leqslant \pi, \\ &\mathrm{g}(x)=-2 \mathrm{f}(x) \text { for } 0 \leqslant x \leqslant \pi . \end{aligned} \]$$ State the ranges of $$\(f\)$$ and $$\(g\)$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ The diagram below shows the graph of $$\(y=\mathrm{f}(x)\)$$.
Exam No:9709_s20_qp_12 Year:2020 Question No:9(a)
Answer:
\(f(x)\) from \(-1\) to 5
\(\mathrm{g}(x)\) from \(-10\) to 2
(FT from part (a))
\(\mathrm{g}(x)\) from \(-10\) to 2
(FT from part (a))
Knowledge points:
1.5.1 sketch and use graphs of the sine, cosine and tangent functions (for angles of any size, and using either degrees or radians)
Solution:
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