Question

Find the domain and range of the function without graphing. Explain how you found your answers.

Answer 1

Using it's concepts, it is found that the domain and the range of the function are given as follows:

• Domain: $[4, \infty)$.

• Range: $[0, \infty)$.

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.

In this problem, the function is:

$y = \frac{1}{3}\sqrt{x - 4}$

The square root exists only for non-negative values, hence the domain is found as follows:

$x - 4 \geq 0 \rightarrow x \geq 4$

The result of the square root function is never negative, hence the range of the function is $y \geq 0$.

More can be learned about domain and range at brainly.com/question/27903311

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