To determine the range of the function shown in the graph, we focus on the values of $y$ that the function takes.

Analysis of the Graph:

• The graph starts at a point where $y$ is around $3$, reaches a maximum at $y = 3$, and then decreases as $x$ increases.
• The lowest point of the graph is around $y = -3$.

Conclusion:

From the graph, the $y$-values span from $y = -3$ to $y = 3$. Therefore, the correct range is $-3 \leq y \leq 3$.

The correct answer is:

• $-3 \leq y \leq 3$

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

Here are 5 related questions you can consider:

1. What is the domain of this function?
2. How do you determine the maximum and minimum points of a function from a graph?
3. What would the range be if the graph was shifted upward by 2 units?
4. Can a function's range ever include infinity?
5. How do you calculate the range for a quadratic function?

Tip: When analyzing graphs, always check for the highest and lowest points (extrema) to determine the range.