The graph in the image represents a function that starts at $x = 1$ and increases to the right along the positive $x$-axis. To find the domain of the function, we need to identify the set of all possible $x$-values for which the function is defined.

Domain Analysis:

• The function begins at $x = 1$ (including $x = 1$) and continues indefinitely to the right (as $x \to \infty$).
• The smallest $x$-value is $x = 1$, and there is no upper bound for $x$.

Thus, the domain of the function is: $[1, \infty)$

This means the function is defined for all $x$-values starting from 1 and greater.

Would you like more details, or do you have any questions?

Here are 5 related questions for further exploration:

1. How do you find the range of a function from its graph?
2. What are the differences between open and closed intervals in domain notation?
3. How would the domain change if the graph had a vertical asymptote?
4. Can a function have a domain of all real numbers? Give an example.
5. How would the domain change if the function started at $x = -1$?

Tip: Always pay close attention to whether the graph includes the endpoints (solid vs. open points), as this will affect the domain interval!