Yes. All functions are relations, but not all relations are functions. Functions have to have only one y-value per x-value.
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Good question. A relation is simply that; any x-value to create any y-value. A function, however, cannot be defined for multiple values of x. In other words, for a relation to be a function, it must have singular values for all x within its domain.
Not every relation is a function. But every function is a relation. Function is just a part of relation.
A relation is a function when an x value only has one y value associated with it. An easy way to tell this is to graph the relation, then draw a vertical line through it. If, at any point, it touches the graph twice, the relation isn't a function.
A function is a relation whose mapping is a bijection.
No. A relation is not a special type of function.