Given that x is an integer between -2 and 2, state the relation represented by the equation y = 2-abs(x) by listing a set of ordered pairs. Then state whether the relation is a function.

I think it's:
(-2,0)
(-1,1)
(0,2)
(1,1)
(2,0)

To determine the set of ordered pairs for the relation y = 2 - |x|, we need to evaluate the equation for each integer value of x between -2 and 2.

For x = -2, substituting it into the equation gives:
y = 2 - |(-2)| = 2 - 2 = 0

So the ordered pair for x = -2 is (-2, 0).

For x = -1:
y = 2 - |(-1)| = 2 - 1 = 1
The ordered pair for x = -1 is (-1, 1).

For x = 0:
y = 2 - |0| = 2 - 0 = 2
The ordered pair for x = 0 is (0, 2).

For x = 1:
y = 2 - |1| = 2 - 1 = 1
The ordered pair for x = 1 is (1, 1).

For x = 2:
y = 2 - |2| = 2 - 2 = 0
The ordered pair for x = 2 is (2, 0).

Therefore, the set of ordered pairs for the relation y = 2 - |x| is:
{(-2, 0), (-1, 1), (0, 2), (1, 1), (2, 0)}.

Now, let's determine if the relation is a function. A relation is a function if each value of the x-coordinate corresponds to only one value of the y-coordinate.

In this case, looking at the set of ordered pairs, we can see that for each x-value, there is only one corresponding y-value. Hence, the relation is a function.

Therefore, the relation represented by the equation y = 2 - |x| is a function.