To determine where the graph has a removable discontinuity, we need to look for a point on the graph where the function is not defined (often indicated by a hole) but where the limit exists and is the same from both sides of the discontinuity.

Analyzing the Graph:

1. The graph shows two blue curves and two open circles indicating where the graph might have discontinuities.
2. The open circles are located where the function is not defined, indicating potential discontinuities.
3. A removable discontinuity is specifically a point where the function could be redefined to make it continuous (i.e., filling in the hole).

Removable Discontinuity Location:

• The graph has an open circle at the $x$-value where the two curves meet horizontally. This open circle occurs at $x = 1$, and the graph approaches the same value from both sides, indicating a removable discontinuity.

Conclusion:

The graph has a removable discontinuity at $x = 1$.

Would you like further details or have any questions about this problem?

Here are 5 related questions you might find useful:

1. What is the difference between removable and non-removable discontinuities?
2. How can you algebraically identify a removable discontinuity?
3. Can you redefine a function to remove a discontinuity? How?
4. What types of functions are most likely to have removable discontinuities?
5. How do limits help in identifying discontinuities?

Tip: When looking for removable discontinuities, focus on where the function has holes and check if the limit exists at those points.