To accurately determine the range of \( g \) from the provided graph, let's identify the specific values \( g(x) \) takes based on the points and the behavior of the graph.

From the graph:

- The minimum value of \( g(x) \) is 0 (at \( x = 1 \)).
- The maximum value of \( g(x) \) is 6 (at \( x = 7 \)).

Thus, the function \( g \) ranges from 0 to 6. The correct range of \( g(x) \) is:
\[ 0 \leq g(x) \leq 6 \]

This range, however, does not match any of the given multiple-choice options directly. Therefore, the provided choices might have an error or might not correctly capture the range shown on the graph.

Would you like more details or have any other questions?

Here are 8 additional questions to expand on this information:
1. How can we identify the domain of a function from its graph?
2. What are the steps to find the range of a function algebraically?
3. How do vertical and horizontal shifts affect the range of a function?
4. What is the impact of reflecting a function across the x-axis on its range?
5. How do you handle finding the range of piecewise functions?
6. What techniques can be used to find the range of a complex function?
7. How does the range of a quadratic function differ from that of a linear function?
8. How can we use the first and second derivatives to determine the range of a function?

**Tip:** Always double-check the specific points on a graph and their corresponding y-values to accurately determine the range of a function.

Understand how to determine the range of function g(x) from graph analysis. Learn about identifying minimum and maximum values from a graph and accurately defining the range. This explanation includes practical steps and graphical examples for clarity. Suitable for Grades 9-12 students.

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