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To find \( h(6) \), we need to evaluate the function \( h(x) \) at \( x = 6 \) by analyzing the graph provided.

Looking at the graph, \( h(x) \) represents a straight line, which appears to have a negative slope. We can find the value of \( h(6) \) by locating \( x = 6 \) on the horizontal axis and reading the corresponding \( y \)-value from the graph.

From the graph, when \( x = 6 \), \( h(x) = -2 \).

Thus, \( h(6) = -2 \).

Would you like any further clarification or details? Here are some related questions you might find helpful:

1. What is the slope of the line \( h(x) \)?
2. Can you determine the equation of the line \( h(x) \)?
3. How would you find the intercepts of the line \( h(x) \)?
4. What is the difference between the functions \( h(x) \) and \( g(x) \) in terms of their shapes?
5. How does the graph of \( g(x) \) relate to the table of values provided?

**Tip**: Always check the slope of a line when trying to identify its general behavior across different values of \( x \).

Learn how to evaluate the function h(x) at x = 6 using a linear function graph. This exercise covers linear functions, graph reading, and the slope-intercept form, suitable for students in Grades 8-10.

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