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Select the domain and range for the absolute value parent function:Domain = Blank 1 Question 14Range = Blank 2 Question 14

Question

Select the domain and range for the absolute value parent function:

  • Domain = Blank 1 Question 14
  • Range = Blank 2 Question 14
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Solution

Domain and Range of the Absolute Value Parent Function

  1. Identify the Absolute Value Function
    The absolute value parent function is defined as f(x)=x f(x) = |x| .

  2. Determine the Domain

    • The domain of the absolute value function includes all possible input values (x-values).
    • Since there are no restrictions on x for the absolute value function, the domain is: Domain=(,) \text{Domain} = (-\infty, \infty)
  3. Determine the Range

    • The range of the absolute value function consists of the possible output values (y-values).
    • Since the absolute value of any number is always non-negative, the range is: Range=[0,) \text{Range} = [0, \infty)

Final Answer

  • Domain = (,) (-\infty, \infty)
  • Range = [0,) [0, \infty)

This problem has been solved

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