The domain is x = { -4, -3, -2, -1, 0, 1, 2, 3, 4}
The given function is y = x²/2
To get the range, we need to substitute the individual values of x into the given function.
For x = -4:
y = (-4)²/2 = 16/2 = 8
For x = -3:
y = (-3)²/2 = 9/2 = 4.5
For x = -2:
y = (-2)²/2 = 4/2 = 2
For x = -1:
y = (-1)²/2 = 1/2 = 0.5
For x = 0:
y = (0)²/2 = 0/2 = 0
For x = 1:
y = (1)²/2 = 1/2 = 0.5
For x = 2:
y = (2)²/2 = 4/2 = 2
For x = 3:
y = (3)²/2 = 9/2 = 4.5
For x = 4:
y = (4)²/2 = 16/2 = 8
The range will now be a set of all the values of y gotten above.
Range: y = {8, 4.5, 2, 0.5, 0, 0.5, 2, 4.5, 8}