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The graph you've provided appears to be a function resembling a square root or absolute value function, likely of the form \( f(x) = \sqrt{x} \) or a related variation, since the graph starts at \( x = 0 \) and opens outward, indicating the domain is restricted to non-negative values of \( x \).

### Domain of the Function:
The domain of this function consists of all the values of \( x \) for which the function is defined. From the graph, we see that the function exists only for \( x \geq 0 \). The function is not defined for negative \( x \)-values.

Thus, **the domain of the function is**:
\[
\boxed{[0, \infty)}
\]

This means the function is defined for all \( x \geq 0 \), or in interval notation, the domain is all real numbers starting from 0 and extending to infinity.

Would you like further clarification or more details on this? Here are some related questions that might help expand on this concept:

1. How can we determine the range of this function from the graph?
2. What is the general form of functions whose domain starts at 0?
3. Can a function with a square root in its equation have negative \( x \)-values in its domain?
4. How does the vertical behavior of the graph affect the domain or range?
5. What transformations could shift the domain of this type of function?

**Tip**: The domain of a function refers to the set of input values for which the function is defined. For graphs, this can be found by observing the span of \( x \)-values for which the graph exists.

What is the domain of the function shown in the graph below?

Learn how to determine the domain of a function from a graph. This problem focuses on identifying the domain of a square root function where the graph starts at x = 0, and the function is only defined for x ≥ 0. Suitable for students in Grades 9-11.

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