I have to find the function rule y = ? for the following table.

x y
-5 15
3 7
6 4
-2 12

Is the table in the exact order you recived the question?

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peter's pumpkin patch

y=-x+10

To find the function rule, we need to determine the relationship between the x-values and the corresponding y-values in the table.

Let's look at the differences between the x-values and the corresponding y-values:

For x = -5, the y-value is 15.
For x = 3, the y-value is 7.
For x = 6, the y-value is 4.
For x = -2, the y-value is 12.

If we calculate the differences between the x-values and y-values, we get:

(-5) - 15 = -20
(3) - 7 = -4
(6) - 4 = 2
(-2) - 12 = -14

The differences are not consistent, so we can't determine a linear relationship between x and y.

To find a pattern, we can examine the differences between the y-values:

15 - 7 = 8
7 - 4 = 3
4 - 12 = -8

The differences between the y-values are not constant either, so it is unlikely that there is a simple linear relationship.

Without a consistent pattern or relationship, it is difficult to determine a specific function rule for the data in the table. The values may be non-linear or could be a result of random data points. To find a function rule, we would need additional information or data points.