To complete the table for the function y = 2(1/3)^x, we substitute each value of x into the function. For x = -2, we calculate y = 2(1/3)^(-2) = 2 * 9 = 18, which simplifies to 2/9. For x = -1, y = 2(1/3)^(-1) = 2 * 3 = 6, which simplifies to 2/3. For x = 0, y = 2(1/3)^0 = 2 * 1 = 2. For x = 1, y = 2(1/3)^1 = 2 * (1/3) = 2/3. The points to plot on the graph are (-2, 2/9) and (-1, 2/3). When graphing, connect these points with a smooth curve that approaches the x-axis as x increases, indicating the behavior of the exponential function.