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From the graph of the function \( h(x) \), you are asked to find the function values at \( h(3) \), \( h(5) \), and \( h(6) \). To determine these values, let's examine the graph at the given \( x \)-coordinates:

- \( h(3) \): Look at the point where \( x = 3 \) on the graph. The corresponding \( y \)-value is the function value \( h(3) \).
- \( h(5) \): Similarly, find the point where \( x = 5 \), and note the corresponding \( y \)-value.
- \( h(6) \): Finally, find the point where \( x = 6 \), and the corresponding \( y \)-value gives \( h(6) \).

Upon inspecting the graph:
- At \( x = 3 \), the \( y \)-value is \( 8 \), so \( h(3) = 8 \).
- At \( x = 5 \), the \( y \)-value is \( 10 \), so \( h(5) = 10 \).
- At \( x = 6 \), the \( y \)-value is \( 8 \), so \( h(6) = 8 \).

Thus:
\[
h(3) = 8, \quad h(5) = 10, \quad h(6) = 8.
\]

Would you like further details, or do you have any questions?

Here are some related questions for practice:
1. What is the value of \( h(0) \) based on the graph?
2. What are the \( x \)-coordinates where \( h(x) = 0 \)?
3. What is the maximum value of the function \( h(x) \) on this graph?
4. At what \( x \)-value does the function reach its maximum?
5. Is \( h(x) \) a function that is increasing or decreasing after \( x = 6 \)?

**Tip:** Always check the behavior of the function around the critical points to understand its increasing and decreasing trends.

The graph of the function h(x) is shown. Find the function values h(3), h(5), and h(6).

Learn how to find the values of h(3), h(5), and h(6) from the graph of the function h(x). This exercise helps develop skills in reading and interpreting function graphs. Suitable for students in Grades 7-9.

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