Respuesta :

Using it's concept, the domain and the range of the function are given as follows:

  • Domain: [tex]x \leq 4[/tex].
  • Range: [tex]y \geq 0[/tex]

What are the domain and the range of a function?

  • The domain of a function is the set that contains all the values of the input.
  • The range of a function is the set that contains all the values of the output.

The function for this problem is:

[tex]y = \sqrt{4 - x}[/tex]

The square root is defined only for non-negative numbers, hence the domain is given as follows:

[tex]4 - x \geq 0 \rightarrow x \leq 4[/tex]

The outputs of the square root function are also non-negative numbers, hence the range is given as follows:

[tex]y \geq 0[/tex].

More can be learned about the domain and the range of a function at https://brainly.com/question/10891721

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