From the table, determine whether the data shows an exponential function. Explain why or why not. x 3 6 9 12 y 1 2 4 8

The x-values increase by a constant 3 each time: 3, 6, 9, 12. Over each equal step in x, the y-values are multiplied by 2: 1, 2, 4, 8. Equal domain intervals with a common multiplicative factor in the range indicate an exponential function, so the correct choice is “Yes; the domain values are at regular intervals and the range values have a common factor 2.”

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