Complete the table for the following function. y is equal to 1 third to the x th power x negative 3 negative 2 negative 1 0 1 2 3 y 3 1 1 third Graph the function and describe what the graph looks like.

For y = (1/3)^x, each time x increases by 1, the y-value is multiplied by 1/3, so the values get smaller. The completed y-values for x = −3, −2, −1, 0, 1, 2, 3 are 27, 9, 3, 1, 1/3, 1/9, 1/27. The graph therefore decreases from left to right, which matches choice D.

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