Problem

Use the graph of \(y~=~\sin(x)\) on \([-2\pi~,~0]\) to state the domain, complete-cycle count, amplitude, period, midline, range, and all zeros, maxima, and minima on the interval.

Exact sin curve on [−2π,0] with radian axes and all key locations visible but unlabeled.

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The domain is [-2pi, 0]; there are 1 complete cycle(s), amplitude 1, period 2pi, midline y = 0, and range [-1, 1]. Zeros are (-2pi,0), (-pi,0), (0,0); maxima are (-3pi/2,1); minima are (-pi/2,-1).

The domain is [-2pi, 0]; there are 1 complete cycle(s), amplitude 1, period pi, midline y = 0, and range [-1, 1]. Zeros are (-2pi,0), (-pi,0), (0,0); maxima are (-3pi/2,1); minima are (-pi/2,-1).

The domain is [-2pi, 0]; there are 1 complete cycle(s), amplitude 2, period 2pi, midline y = 0, and range [-1, 1]. Zeros are (-2pi,0), (-pi,0), (0,0); maxima are (-3pi/2,1); minima are (-pi/2,-1).

The domain is [-2pi, 0]; there are 1 complete cycle(s), amplitude 1, period 2pi, midline x = 0, and range [-1, 1]. Zeros are (-2pi,0), (-pi,0), (0,0); maxima are (-3pi/2,1); minima are (-pi/2,-1).

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Use the graph of \(y~=~\sin(x)\) on \([-2\pi~,~0]\) to state the domain, complete-cycle count, amplitude, period, midline, range, and all zeros, maxima, and minima on the interval.

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