Looking at the graph, we can observe that the function $y = f(x)$ is a decreasing function over certain intervals.

The graph shows a hyperbolic-like curve, and the function appears to be decreasing as you move from left to right. Specifically, it decreases in the interval where $x > 0$, starting from $x = 1$ onwards. This can be identified because the slope of the graph is negative in that region (i.e., the curve is moving downward).

Thus, the function is decreasing over the interval:

$(1, \infty)$

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

Here are 5 related questions to expand on this topic:

1. What is interval notation, and how does it describe increasing or decreasing behavior?
2. How can you determine if a function is increasing or decreasing from its graph?
3. What are the conditions for a function to be decreasing in terms of its derivative?
4. How would you describe the behavior of the function near $x = 1$?
5. What role do asymptotes play in identifying the behavior of functions?

Tip: When identifying increasing or decreasing intervals, always observe the slope or direction of the curve. A negative slope indicates decreasing behavior.