From the table below, determine whether the data shows an exponential function. Explain why or why not. x31-1-3y1234

The x-values are regularly spaced: each decreases by 2. For an exponential function, equal changes in x must produce a common multiplicative factor in the y-values. Here the y-values 1, 2, 3, 4 have a common difference of 1, but their ratios are not equal, so the data are not exponential. The correct choice is “No; the domain values are at regular intervals and the range values have a common sum 1.”

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