https://file.aiquickdraw.com/mathbot/file/17263798318435h47z4xy.jpg

The image shows a graph of a function, and the question asks for the range of the function represented in the graph. Let's analyze the graph:

- The graph seems to be a cubic function with two turning points, and it reaches its minimum and maximum at \( y = -3 \) and \( y = 3 \) respectively.
- The question offers four choices for the range:
  1. \( y \geq 0 \)
  2. \( y \geq -4 \)
  3. All real numbers
  4. \( -3 \leq y \leq 3 \)

Based on the visual inspection, the function has values ranging from \( y = -3 \) to \( y = 3 \). Therefore, the correct range of the function is \( -3 \leq y \leq 3 \), which corresponds to choice **D**.

Would you like more details or have any further questions?

Here are 5 related questions:
1. What is the domain of the given function?
2. How do we determine the range of a function graphically?
3. Can a cubic function have a range of all real numbers?
4. How does the shape of the graph help in identifying critical points?
5. How do we calculate turning points for a cubic function?

**Tip:** The range of a function is the set of all possible output values (y-values) that the function can take. You can find it by looking at the vertical extent of the graph.

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Analyze the graph of a cubic function and determine the range of the function. The graph reaches its minimum at y = -3 and its maximum at y = 3. This problem covers concepts in graph analysis and the range of functions, suitable for high school students.

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