The task is to find the function's value at the point of discontinuity, based on the provided graph.

From the graph, we can observe the following:

1. There is a discontinuity at $x = 1$.
2. On the left side of $x = 1$, the function approaches $f(x) = 3$, indicating that the left-hand limit as $x$ approaches 1 is 3.
3. At $x = 1$, there is an open circle on the graph at $y = -1$, which represents the function's actual value at this point.

Thus, the value of the function at the point of discontinuity, $f(1)$, is: $f(1) = -1$

Would you like a more detailed explanation or have further questions?

Related Questions

1. What are the different types of discontinuities in functions?
2. How do you determine the limits from a graph?
3. How can we identify a jump discontinuity in a function?
4. What is the difference between left-hand and right-hand limits?
5. How would this graph change if the discontinuity were removable?

Tip

When analyzing a graph, always look for open and closed points to identify possible discontinuities and their types.