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The function in question is:

\[
y = \sqrt{x - 10}
\]

To determine the domain of this function, we need to ensure that the expression under the square root, \(x - 10\), is non-negative, since the square root of a negative number is not defined in the set of real numbers. Thus, we require:

\[
x - 10 \geq 0
\]

Solving for \(x\):

\[
x \geq 10
\]

So, the domain of the function is \(x \geq 10\), which corresponds to **option A**.

Let me know if you need more details or have any questions!

Here are 5 related questions you might explore:
1. What is the range of the function \(y = \sqrt{x - 10}\)?
2. How do we find the domain of more complex square root functions?
3. What happens if the square root function is under a negative sign, such as \(y = -\sqrt{x - 10}\)?
4. Can you generalize a rule for finding the domain of any square root function?
5. How would the domain change if the function was \(y = \sqrt{x - 5}\)?

**Tip:** When dealing with square root functions, always ensure the expression inside the square root is non-negative to find the correct domain.

What is the domain of the function y = √(x - 10)?

Find the domain of the square root function y = √(x - 10) by ensuring the expression inside the square root is non-negative. Learn how to solve x - 10 ≥ 0 to find the correct domain, suitable for students in Grades 8-10.

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