What is the domain of the function \( y=\sqrt{x-10} \) ?

To determine the domain of the function \( y=\sqrt{x-10} \), we need to ensure that the expression inside the square root is greater than or equal to zero. This gives us the inequality \( x-10 \geq 0 \), which simplifies to \( x \geq 10 \). Therefore, the domain of the function consists of all values of \( x \) that are 10 or greater. In interval notation, this can be expressed as \( [10, \infty) \). When thinking about the graph of this function, you'll find that it starts at the point \( (10, 0) \) and extends infinitely to the right along the x-axis. That means there's no negative output value here, keeping everything nice and non-nonsensical for our square root-loving selves!