What kind of graph is two circles put together called?

It's called a venn diagram

The graph you are referring to is called a "Venn diagram." Venn diagrams are commonly used to represent the relationships between different sets or groups. They consist of overlapping circles or shapes, where each circle represents a category or group, and the overlapping region represents the elements that belong to both categories. In the case of two circles put together, it indicates the overlapping elements shared by both categories, while the separate regions of each circle represent the elements exclusive to that category. Venn diagrams are useful for visualizing and understanding relationships, particularly in fields such as mathematics, logic, and statistics.