Question

For the given function and domain, specify the associated range, y=x^2/2x:{-4, -3, -2, -1,0,1,2,3,4}

Answer 1

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}