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Not every relation is a function. But every function is a relation. Function is just a part of relation.
A function is a relation whose mapping is a bijection.
A graph can represent either a relation or a function, depending on the nature of the relationship between the variables depicted. A relation is simply a set of ordered pairs, while a function is a specific type of relation where each input (or x-value) is associated with exactly one output (or y-value). To determine if a graph represents a function, the vertical line test can be applied: if any vertical line intersects the graph at more than one point, it is not a function.
No. A relation is not a special type of function.