From the graph provided, we can determine the domain and range of the function represented.

1. Domain:

The domain refers to the set of all possible $x$-values that the graph covers. Looking at the graph, the parabola extends infinitely to the left and right along the $x$-axis. Therefore, the domain is: $\text{Domain: } (-\infty, \infty)$

2. Range:

The range refers to the set of all possible $y$-values that the graph covers. From the graph, the vertex of the parabola is at its lowest point, which appears to be at $y = 0$. The graph then extends upwards infinitely. Thus, the range is: $\text{Range: } [0, \infty)$

Final Answer:

• Domain: $(-\infty, \infty)$
• Range: $[0, \infty)$

Would you like further details or explanation about this process?

Here are 5 related questions to expand your understanding:

1. What changes to the graph would alter its domain and range?
2. How do you determine the vertex of a parabola from its graph?
3. How would the domain and range change if the parabola opened downward?
4. How does interval notation help express domains and ranges efficiently?
5. How do transformations (e.g., vertical shifts) affect the range of a function?

Tip: Always look for key points like the vertex or intercepts to determine the range and behavior of the graph!