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.