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To determine \( H(-4) \) from the graph, we need to observe the point where \( x = -4 \) and identify the corresponding \( y \)-coordinate.

- Looking at the graph, at \( x = -4 \), the graph intersects the y-axis at approximately \( y = 2 \).

Thus, \( H(-4) = 2 \).

Do you have any other questions or need more details?

Here are 5 related questions you might explore:
1. What is the value of \( H(0) \) based on the graph?
2. Does the graph of \( H(x) \) have any symmetry (even or odd)?
3. What are the local maxima and minima of the function?
4. Can you estimate \( H(2) \) or other nearby values?
5. How would you identify the intervals where \( H(x) \) is increasing or decreasing?

**Tip:** Pay close attention to how the graph behaves at critical points (where it changes direction) to identify local maxima, minima, and inflection points.

Learn how to determine the value of H(-4) from the graph of a function. This problem involves interpreting a graph and identifying the corresponding y-coordinate for a given x-value. Suitable for students in Grades 8-10.

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