Which of the following data sets has consecutive x-values with a constant difference, making it suitable for difference analysis?

(-2, 4), (0, 9), (2, 14), (4, 19)

(0, 5), (1, 7), (3, 11), (4, 13)

(1, 10), (4, 8), (5, 7), (8, 4)

(-5, 2), (-4, 3), (-2, 5), (0, 7)

Why is it essential to confirm that consecutive x-values have a constant difference before using first or second differences to identify a function type?

It guarantees the function is linear.

It ensures that patterns in the y-value differences are reliable indicators of the function model.

It is only necessary for data sets with negative numbers.

It confirms that the y-values are increasing at a constant rate.

Yes, the x-values have a constant difference.

No, the y-values are decreasing.

No, the x-values do not have a constant difference.

Yes, all the data points lie on a straight line.