The graph in the image shows a function with a curve that has both a minimum and a maximum, and it appears to be restricted by certain endpoints.

To determine the range of the function:

1. Lowest point (minimum):

   • The graph reaches its lowest value at approximately $y = -9$.

2. Highest point (maximum):

   • The highest point on the graph is around $y = 7$, as indicated by the peak of the curve.

3. End behavior:

   • There is an endpoint on the right side at $x \approx 3.5$, with the corresponding $y \approx 5$.

Thus, the range of the graph is the set of all $y$-values the function takes. Based on the visual inspection, the range is: $y \in [-9, 7]$ This means the function's output values range from -9 (inclusive) to 7 (inclusive).

Would you like any further details or explanations? Here are some follow-up questions to consider:

1. How is the range of a function different from the domain?
2. Can a function have an infinite range?
3. How would the range change if the graph continued beyond its current endpoints?
4. What is the relationship between the graph's local minima/maxima and its range?
5. How do horizontal asymptotes affect the range of a function?

Tip: The range of a function depends on the lowest and highest points the graph reaches on the vertical axis.