The graph shows a linear function extending infinitely in both directions along the x-axis. Since linear functions are defined for all real values of $x$, there are no restrictions on the values that $x$ can take.

Answer

The domain of the function is: $-\infty < x < \infty$ or simply: $\text{all real numbers}$ Alternatively, you could write this as: $x \in \mathbb{R}$

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Related Questions

1. What would be the range of this function?
2. How do you determine the domain and range of a function from its graph?
3. How is the domain of a quadratic function different from that of a linear function?
4. Can a linear function ever have a restricted domain?
5. What does it mean for a function to be continuous over its domain?

Tip

For linear functions, unless otherwise restricted by the problem, the domain is always all real numbers because they extend infinitely in both directions.