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The function is $\"\"$ .

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Rewrite the function.

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$\"\"$ .

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The standard form of the sine function is $\"\"$ .

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Where $\"\"$ is the Amplitude, $\"\"$ is the vertical shift and $\"\"$ .

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Compare the function $\"\"$ with $\"\"$ .

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$\"\"$ .

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The Amplitude of the Function is $\"\"$ .

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The period of a sine function is $\"\"$ .

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Phase shift of a function is $\"\"$ .

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The function is $\"\"$

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The amplitude of the function is $\"\"$ , so the graph $\"\"$ is in between $\"\"$ and $\"\"$ on $\"\"$ -axis.

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The period of the function is $\"\"$ .

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Therefore, the sine wave starts from $\"\"$ and completes one cycle at $\"\"$ .

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The interval of the function is $\"\"$ .

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Divide the interval $\"\"$ into eight subintervals, each of length $\"\"$ .

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The points are $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ and $\"\"$ .

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The end points of the subintervals are $\"\"$ .

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Locate the key points:

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$\"\"$ .

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Graph:

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Graph the function $\"\"$ .

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Draw a coordinate plane.

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Plot the points on the graph.

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Connect the points using smooth curve.

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$\"\"$

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The amplitude of the function is $\"\"$ .

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The period of the function is $\"\"$ .

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The phase shift of the function is $\"\"$ .

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Graph of the function $\"\"$ is

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$\"\"$ .