Yes, the perimeter of the figure, $y$, is a function of the number of hexagons, $x$. This is because each value of $x$ corresponds to exactly one unique value of $y$, which satisfies the definition of a function.

From the graph:

1. At $x = 0$, $y = 0$.
2. At $x = 1$, $y = 6$.
3. At $x = 2$, $y = 10$.
4. At $x = 3$, $y = 14$.
5. At $x = 4$, $y = 18$.

The data points show a consistent increase, and each input $x$ maps to a unique output $y$, confirming this is a functional relationship.

The relationship appears linear with a clear pattern. This suggests that the perimeter increases by a constant amount with each additional hexagon, though this could depend on the configuration of the hexagons (e.g., whether they're touching).

Would you like more details or calculations? Here are 5 related questions you might explore:

1. What is the equation for the relationship between $x$ and $y$?
2. How does the arrangement of hexagons affect the perimeter calculation?
3. What is the rate of change in $y$ with respect to $x$?
4. Could this relationship be nonlinear if the arrangement of hexagons changes?
5. How would the perimeter change if each hexagon overlaps partially?

Tip: To confirm functional relationships, always verify that each input corresponds to one unique output!