Let's first analyze the graph you uploaded.

Domain: The domain refers to the set of all possible x-values (inputs) for which the function is defined. From the graph, it looks like the function is defined for all x-values starting from -1 and continuing to the right indefinitely. Thus, the domain is:

Domain: (-1, ∞)

Range: The range refers to the set of all possible y-values (outputs) the function can take. From the graph, we see that the function starts from a minimum y-value at y = 0 and increases to y = 3 as the graph moves to the right. Hence, the range is:

Range: [0, 3]

If you'd like further clarification or have other questions related to this, feel free to ask!

Related questions for further exploration:

1. How do you determine the domain and range of a function from its graph?
2. What are the differences between an open and closed interval when describing a domain or range?
3. How can you express a domain or range using set notation?
4. Can the domain of a function be infinite? How would you describe that?
5. How do vertical asymptotes affect the domain of a function?

Tip:

When analyzing a graph, always focus on the leftmost and rightmost x-values for the domain and the lowest and highest y-values for the range to make sure you're covering all possibilities.