The graph in the image depicts a function with its curve starting at $x = -2$ and extending to the right. The domain of a function is the set of all possible input values (typically $x$ values) for which the function is defined.

Analyzing the Graph:

• The function begins at $x = -2$ and includes this point (as shown by the solid dot).
• The function continues to the right, meaning it is defined for all $x$ values greater than or equal to $-2$.

Conclusion:

The correct domain of the function is all real numbers greater than or equal to $-2$, which matches the first option provided in the multiple-choice answers.

Would you like more details or have any questions?

Here are five related questions that might interest you:

1. How do you find the domain of a function from its equation?
2. What is the difference between domain and range?
3. How do you determine the domain for functions with square roots or fractions?
4. Can a function have an infinite domain?
5. How is the domain affected by vertical asymptotes in a graph?

Tip: When analyzing a graph to determine the domain, always check the starting and ending points of the curve along the x-axis to see where the function is defined.