From the graph provided, I can see that it represents a parabola that opens downwards.

Domain:

• The domain of the graph is the set of all possible $x$-values that the graph covers. Since this is a parabola that extends indefinitely to the left and right, the domain includes all real numbers.

In interval notation, the domain is: $(-\infty, \infty)$

Range:

• The range is the set of all possible $y$-values. The highest point of the parabola occurs at the vertex, which appears to be at approximately $y = 4$, and since the parabola opens downward, the $y$-values decrease from this point.

In interval notation, the range is: $(-\infty, 4]$

Would you like more details, or do you have any other questions?

Related Questions:

1. What is the equation of this parabola?
2. How do you find the vertex of a parabola from its graph?
3. What are the roots (or x-intercepts) of this parabola?
4. How can we determine the axis of symmetry from the graph?
5. What is the significance of the vertex in terms of maximum and minimum values?

Tip:

For a quadratic function $y = ax^2 + bx + c$, the vertex can be found using the formula $x = -\frac{b}{2a}$, and this helps in determining the range of the function.