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To determine the domain of the function from the given graph:

1. The domain represents all the possible \( x \)-values (horizontal axis) for which the function is defined.
2. The graph continues indefinitely in both the left and right directions, as indicated by the assumption that the graph continues forever.

### Observing the Graph:
- The graph starts from the left at \( x = -\infty \) and continues through to the right at \( x = \infty \).

### Conclusion:
- The domain of the function is all real numbers, which can be written in interval notation as:
  \[
  (-\infty, \infty)
  \]

Would you like to know the range of the function as well, or do you have any other questions?

### Related Questions:
1. What is the range of this function?
2. How do you determine the domain of a function from a graph?
3. What does it mean when a function is defined for all real numbers?
4. How does the behavior of the graph at the endpoints affect the domain?
5. Can a function have a limited domain and still continue indefinitely?

### Tip:
When analyzing a graph for the domain, always look for breaks, jumps, or undefined points along the \( x \)-axis. If none exist, the domain is typically all real numbers.

Learn how to determine the domain of a function from its graph with a detailed step-by-step guide. Understand the concept of domain as all possible x-values where the function is defined. Suitable for high school students studying functions and graph analysis.

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