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Sketch the graph of the trigonometric polynomial g(x) = 2sin(x)+ cos(2x) on the interval [0, 2 ], showing all intercepts, extremes and inflection points. Your

Sketch the graph of the trigonometric polynomial g(x) = 2sin(x)+ cos(2x) on the interval [0, 2 ], showing all intercepts, extremes and inflection points. Your graphs must capture the essence of the shape, especially the concavity features. I want to see your work, with exact values and 4-decimal-place approximations for all x- and y-values in your legend

Please explain clearly and show all steps thank you.

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