From the graph displayed in the image, we need to determine the range of the function using interval notation.

Observing the Graph:

• The graph is a semicircle-like curve with the endpoints clearly visible.
• On the vertical (y-axis), the lowest point of the curve is at y = -2, and the highest point of the curve is at y = 2.

Range of the Function:

The range is the set of all possible y-values the function takes. Here, it spans from y = -2 to y = 2, inclusive of both values (since the endpoints are part of the curve).

Thus, the range in interval notation is: $[-2, 2]$

If you have any questions or need further explanation, feel free to ask!

Related Questions:

1. What is the domain of this function in interval notation?
2. How would the range change if the curve were stretched vertically?
3. Can a function with this shape still pass the vertical line test?
4. What would the range look like if the graph were shifted up by 3 units?
5. How do you find the range for functions that are not graphed, such as algebraic functions?

Tip:

Always carefully inspect the y-axis limits when determining the range, and check whether the endpoints of the graph are included (closed or open intervals).