https://file.aiquickdraw.com/mathbot/file/17290608599506s8dkgh1.jpg

To determine the domain of the square root function graphed, we observe where the graph exists along the x-axis, since the domain refers to the set of all possible x-values for which the function is defined.

From the graph:
- The function starts at \(x = 1\) and extends to the right.
- There are no parts of the function graphed for \(x < 1\).

Therefore, the domain of this square root function is:
\[
x \geq 1
\]

The correct answer is:
**\(x \geq 1\)**.

Would you like more details or have any questions?

Here are some related questions:
1. What is the range of this square root function?
2. How do you determine the domain of a square root function in general?
3. What transformations could shift this square root graph horizontally?
4. How does the domain change if we reflect the graph across the y-axis?
5. What happens to the domain if we consider a square root function with a vertical stretch?

**Tip:** When determining the domain of a square root function, remember that the expression inside the square root must be non-negative (greater than or equal to zero).

What is the domain of the square root function graphed below?

Learn how to determine the domain of a square root function by analyzing the graph. This problem covers essential concepts of graph interpretation and domain determination for high school algebra students.

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