To determine the range of the given graph, we need to analyze the vertical spread of the graph on the $y$-axis.

Looking at the graph:

1. The curve starts at a point with a maximum $y$-value around $y = 4$.
2. The curve dips downward, reaching a minimum value at around $y = -3$.
3. After reaching the minimum, the curve moves back up slightly.

Thus, the range of the function is the set of all $y$-values the graph takes. From this analysis, the graph spans vertically from $y = -3$ (minimum) to $y = 4$ (maximum).

Conclusion:

The range of the graph is $[-3, 4]$.

Would you like further clarification, or do you have any questions on this?

Here are some related questions to deepen your understanding:

1. How do we determine the domain of a graph?
2. What is the difference between the domain and range of a function?
3. How do critical points (maxima and minima) influence the range of a function?
4. Can a function have an infinite range?
5. How would transformations (like translations) affect the range of a graph?

Tip: Always check for the minimum and maximum points when determining the range of a graph, as these values define the boundaries of the range.