A sine curve

A sine curve

6 marks
TGM Original
Sketch y=4sin(14x)-1 for 0 <= x <= 8 pi, with x measured in radians. Label endpoints and turning points. State the amplitude, period and range on this domain.

Solution:

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Answer:\(A=4\); \(T=8 \pi\); \(-5\le y\le 3\); \(\text{key points:}\hspace{0.5em}(0,-1),\ (2 \pi,3),\ (4 \pi,-1),\ (6 \pi,-5),\ (8 \pi,-1)\).

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