Looking at the graph provided, we can analyze the domain and range of the function shown.

Domain

The domain refers to all possible $x$-values for the function. The graph of this function extends indefinitely to the left and right along the $x$-axis. Therefore, the domain is all real numbers:

$\text{Domain: } (-\infty, \infty)$

Range

The range refers to all possible $y$-values. This function appears to have a maximum point at $y = 4$ (vertex of the parabola), and it opens downward. Hence, the range includes all $y$-values from $-\infty$ up to 4:

$\text{Range: } (-\infty, 4]$

Would you like more details or have any questions?

Additional Related Questions

1. How do you find the vertex of a parabola from its equation?
2. What is the general form of a parabolic function?
3. How can you determine if a parabola opens upwards or downwards?
4. What are other ways to express the range of a function?
5. How would the domain and range change if the function were restricted?

Tip: When finding the range of a parabola, always identify if it has a maximum or minimum value to know if the range extends up to or from that point.