In this graph, we see a linear function represented by a line. This line extends infinitely in both directions. Since there are no restrictions on the $x$-values along the line, the domain of the function includes all real numbers.

Solution:

The domain of this function is: $-\infty < x < \infty$ or simply, all real numbers.

If you want it written as an inequality, you could also express it as: $x \in (-\infty, \infty)$

Would you like more details or have any questions?

Related Questions:

1. What would the range of this function be, given that it’s a linear function?
2. How would the domain change if the line segment were limited to a finite interval?
3. Can you identify the slope of this line from the graph?
4. How would the equation of this line look in slope-intercept form?
5. What are the intercepts of this line on the $x$- and $y$-axes?

Tip:

For any linear function, the domain is always all real numbers, as the line extends infinitely in both directions unless otherwise restricted.