Ask Question
7 January, 14:28

Use the given domain to find the range of function:

f (x) = -2x2+7, D={2, - 3, 0}

Will mark brainliest

+3
Answers (1)
  1. 7 January, 14:52
    0
    The range of the function is {-1, - 11, 7}

    Step-by-step explanation:

    - The range is the resulting values of y we get after substituting all

    the possible values of x

    - The domain of the function is the values of x

    - The range of the function is the values of y corresponding to the

    values of x ⇒ [y = f (x) ]

    ∵ f (x) = - 2x² + 7

    ∵ The domain D = {2, - 3, 0}

    - We need to find the values of f (x) corresponding to x = 2, x = - 3

    and x = 0

    - Substitute the values of x in f (x)

    ∵ x = 2

    ∴ f (2) = - 2 (2) ² + 7

    ∴ f (2) = - 2 (4) + 7

    ∴ f (2) = - 8 + 7

    ∴ f (2) = - 1

    ∵ x = - 3

    ∴ f (-3) = - 2 (-3) ² + 7

    ∴ f (-3) = - 2 (9) + 7

    ∴ f (-3) = - 18 + 7

    ∴ f (-3) = - 11

    ∵ x = 0

    ∴ f (0) = - 2 (0) ² + 7

    ∴ f (0) = - 2 (0) + 7

    ∴ f (0) = 0 + 7

    ∴ f (0) = 7

    The range of the function is {-1, - 11, 7}
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “Use the given domain to find the range of function: f (x) = -2x2+7, D={2, - 3, 0} Will mark brainliest ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers