Question

Which relation is a function?

Answer 1

the relation is just a relationship between

x

- and

y

-coordinates.

example:

y

2

=

x

In the set of everything that is a relation, there's a smaller subset which we call functions. A function is just a special kind of relation: any input has exactly one output.

example:

y

=

x

+

3

Answer 2

Answer:

A function is a relation in which each input has only one output. In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

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