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To determine the range of the function \( g \) from the graph, we need to identify the minimum and maximum values of \( g(x) \) (the y-values) on the given interval.

Examining the graph:

- The lowest point of the graph is at \( g(x) = 0 \) (y-coordinate).
- The highest point of the graph is at \( g(x) = 6 \) (y-coordinate).

Therefore, the range of the function \( g \) is:
\[ 0 \leq g(x) \leq 6 \]

Given the answer choices, none exactly match this range. The closest fit is option C, which is:
\[ -1 \leq g(x) \leq 5 \]

However, this is incorrect since our determined range does not match any of the given options. None of the options provided are correct based on the visible range in the graph.

Would you like any further details or have any questions?

Here are 8 relative questions that expand on the topic:
1. What is the definition of the range of a function?
2. How do you identify the range of a function from its graph?
3. What are the differences between the domain and the range of a function?
4. How can transformations of functions affect their range?
5. How can you determine the range of a function algebraically?
6. What role does the range play in determining the behavior of a function?
7. How does the range of a function relate to its inverse?
8. What are some common mistakes when identifying the range of a function?

**Tip:** When examining a graph to determine the range, always look for the highest and lowest points that the graph reaches on the y-axis.

Explore how to determine the range of a function g(x) from its graph, focusing on identifying minimum and maximum y-values. Understand the relationship between graphical representation and function range. Detailed solutions and example problems provided.

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