what is the rule for the function shown in the table? x -1, 0, 1, 2 y = -2, 1, 4, 7

The rule for the function shown in the table is y = 3x + 1.

Looking at the values in the table, we can see that the y-values are increasing by 3 each time the x-value increases by 1. This indicates that the function has a constant rate of change of 3.

By determining the relationship between the x and y values, we can deduce that the rule for the function is y = 3x + 1.