Venn diagram for a relation

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My high school math book says the following diagram is a Venn diagram. But I think this is not correct. Is it right? If not, what is the following diagram that represents a relationship called? enter image description here

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It is a perfectly legitimate Venn Diagram which shows two, disjoint sets. They don't have to overlap to be a Venn Diagram. This type of diagram could also be called a mapping diagram because it shows you how the elements of one set (the oval on the left) are mapped to elements of another set (the oval on the right).