To solve this problem, we need to determine the range of the function based on the graph provided.

Analyzing the Graph:

1. The graph shows a function that starts from a point in the third quadrant (bottom left) and moves upward to a point in the first quadrant (top right).
2. The function starts around $y \approx -10$ and increases, passing through the origin, and continues upwards.
3. The highest point visible on the graph appears to be around $y = 10$.

Range of the Function:

The range of a function is the set of all possible output values (y-values) of the function. Looking at the graph:

• The lowest point on the curve is at around $y = -10$.
• The curve moves upwards without any breaks, reaching at least up to $y = 10$.

Based on this analysis, the range of the function is: $-10 \leq y \leq 10$

Correct Answer:

The answer that matches this range is:

• D. $-10 \leq y \leq 10$.

Would you like more details or have any questions? Here are 5 related questions that might help you understand this concept better:

1. How do you determine the range of a function from a graph?
2. What is the difference between the domain and the range of a function?
3. How do you identify if a function is continuous or discontinuous from its graph?
4. What are some common types of functions and their ranges?
5. How can you use derivatives to determine the maximum and minimum points of a function?

Tip: When analyzing a graph, always look at both the x-axis (domain) and y-axis (range) to understand the behavior of the function fully.