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The graph shown is a curve that appears to be continuous. To determine the domain of the graph, we need to identify the set of all possible \(x\)-values for which the graph is defined.

**Analysis:**
- The graph starts from a point on the left, crosses the x-axis, continues upward, and then curves back downward to the right.
- There don't appear to be any breaks, gaps, or undefined points in the curve along the x-axis.

**Conclusion:**
The domain of the graph includes all real numbers, meaning that for every value of \(x\), there is a corresponding \(y\) value on the graph. This can be written in interval notation as:

\[
\text{Domain} = (-\infty, \infty)
\]

This indicates that the graph is defined for all \(x\)-values.

Would you like more details or have any questions?

Here are 5 related questions you might find helpful:
1. What is the range of the given graph?
2. How can the continuity of a graph be determined?
3. What are some common types of functions with domains of all real numbers?
4. How does the domain of a function change with vertical or horizontal shifts?
5. What are the effects of restricting the domain of a function?

**Tip:** Always check the entire graph for any vertical asymptotes, holes, or other discontinuities when determining the domain.

Understand how to determine the domain of a graph through analysis of its continuity and structure. This problem focuses on a continuous curve graph with no breaks or gaps, illustrating the domain as all real numbers. Suitable for high school students studying graph theory and functions.

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