Which of the following exponential equations could be represented by the table? x negative 3 negative 2 negative 1 0 1 2 3 4 5 y 2 point 0 0 1 4 2 point 0 0 4 1 2 point 0 1 2 3 2 point 0 3 7 2 point 1 1 1 2 point 3 3 3 3 5 11

The table’s y-values increase from about 2 toward larger values, matching an exponential function with base 3 shifted up by 2. For choice D, when x = 3, y = 3^(3 − 3) + 2 = 3; when x = 4, y = 3^(4 − 3) + 2 = 5; and when x = 5, y = 3^(5 − 3) + 2 = 11. These values match the table, so the equation is y = 3^(x − 3) + 2.

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