The graph provided shows a downward-opening parabola. Let's determine its domain and range:

Domain:

• The domain of a function is the set of all possible $x$-values that the function can take.
• From the graph, it appears that the parabola is defined for all $x$-values within the interval where the curve exists.
• The parabola starts at $x = -2$ and ends at $x = 2$.

Therefore, the domain is: $\text{Domain} = [-2, 2]$

Range:

• The range of a function is the set of all possible $y$-values that the function can take.
• From the graph, the maximum value of $y$ is $y = 4$, which occurs at the vertex of the parabola.
• The minimum value of $y$ on the graph is $y = 0$, as this is where the endpoints of the parabola lie on the x-axis.

Therefore, the range is: $\text{Range} = [0, 4]$

Would you like more details on this explanation or have any further questions? Here are some related questions to consider:

1. How do you find the vertex of a parabola?
2. What are the properties of a parabola?
3. How do you determine if a parabola opens upwards or downwards?
4. Can the domain of a parabola ever be all real numbers?
5. What is the general form of a quadratic equation representing a parabola?

Tip: Remember that the domain of a function is all the possible input values (usually $x$-values), and the range is all possible output values (usually $y$-values).