What is the domain of the function \( y=\sqrt{x-10} \) ? \[ \begin{array}{l}\text { A } x \geq 10 \\ \text { B } x \neq 10 \\ \text { C } y \geq 0\end{array} \] D The set of all real numbers

The domain of the function \( y=\sqrt{x-10} \) consists of all the values of \( x \) for which the expression under the square root is non-negative. This means we need the inside, \( x-10 \), to be greater than or equal to zero, leading us to \( x \geq 10 \). To visualize this, imagine a number line starting at 10. All the numbers to the right of and including 10 are in the domain of the function. This is why option A, \( x \geq 10 \), is the correct choice. As you explore this function, picture a curve that starts at the point (10,0) and stretches infinitely to the right. Because a square root cannot produce negative numbers, the function is only defined from 10 onwards. So, anytime you encounter a similar function, just remember to set that expression inside the square root greater than or equal to zero to find the domain!