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To find the range of the function \( g(x) \) from the graph, we need to determine the minimum and maximum values that the function reaches on the \( y \)-axis.

- The graph starts at \( g(x) = 4 \) and descends to its minimum value at \( g(x) = -7 \), before rising again to \( g(x) = 4 \).
- Therefore, the range of the function is all values between \( -7 \) and \( 4 \), inclusive.

Thus, the correct answer is:

**B) \( -7 \leq g(x) \leq 4 \)**

Would you like further details or have any other questions?

Here are 5 related questions for practice:
1. How would you define the domain of \( g(x) \) from this graph?
2. What is the behavior of \( g(x) \) at \( x = 0 \)?
3. Can a function have a greater range if it extends beyond these limits?
4. How can you tell if a function is continuous from its graph?
5. What are the x-values where \( g(x) = 0 \)?

**Tip**: Always check the highest and lowest points on the \( y \)-axis to determine the range of a function.

Learn how to find the range of the function g(x) using its graph. The function reaches a minimum of -7 and a maximum of 4, making the range -7 ≤ g(x) ≤ 4. This problem is ideal for students in Grades 9-12 learning about functions and graph interpretation.

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