Question

Which function rule describes the pattern in the table? X: -2, -1, 0, 1, 2 Y: 0,-1,-2,-3,-4

Answer 1

y = -x - 2.

Explanation:

The function rule that describes the patter in the table is: y = -x - 2.

To prove that, we're going to test each given point:

For x= -2 ⇒ y = -(-2) - 2 = 0 ✅

For x = -1 ⇒ y = -(-1) - 2 = -1 ✅

For x = 0 ⇒ y = -(0) - 2 = -2 ✅

For x = 1 ⇒ y = -(1) - 2 = -3 ✅

For x = 2 ⇒ y = -(2) - 2 = -4 ✅

Then, we have just proved that the function rule that describes the patter in table is y = -x - 2