To find $h(1)$, we need to identify the point on the graph where $x = 1$ and check the corresponding $y$-coordinate.

Looking at the graph, when $x = 1$, the point is located at $(1, 3)$. This means the value of $h(1)$ is 3, because the $y$-coordinate of the point is 3 when $x = 1$.

So, $h(1) = 3$.

Would you like further explanation or details?

Here are five related questions to explore this concept further:

1. What is the value of $h(2)$ based on the graph?
2. How would you describe the general behavior of the function $h(x)$ in this graph?
3. How do you determine the domain of the function based on this graph?
4. Can you identify any symmetry in the plotted points?
5. How could you calculate the range of the function $h(x)$ from the graph?

Tip: When evaluating functions graphically, always look for the corresponding $y$-value for a given $x$-value on the graph.