128k views
2 votes
For the given function and domain, specify the associated range, y=x^2/2x:{-4, -3, -2, -1,0,1,2,3,4}

1 Answer

4 votes

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}

User Jan Koch
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories