Which function rule represents the table x-4-2-1 0 1 y-1 2 5 8 11

A possible function rule that represents the table is y = 3x + 2.

To find the function rule that represents the given table, we need to observe the relationship between the x-values and the y-values.

From the given table, we can see that for each increase in x by 1, the y-value increases by 3.

So, the function rule can be written as:

y = 3x + b

To find the value of b, we can substitute the x and y values from any point on the table. Let's use the point (0, 2):

2 = 3(0) + b

Solving for b:

2 = 0 + b
b = 2

Now, we have the complete function rule:

y = 3x + 2