Pictured are the contours (z=0 to z=4.5 contour interval 0.5) of f(x, y) = x² + 2xy + y² together with the domain D = {(x, y) = R²:0 ≤ y≤2, y-2≤ x ≤ 1-2/}. Explain how the graph can be used to determine the global maximum and the global minimum of the function on D. Verify by including a table of values for any critical points (in D) and boundary critical points of the function.

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