Question

Is the following relation a function?
Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 1, 4, and 0. The y circle contains the numbers 2, negative 1, and 3. Arrows map numbers from x to numbers from y. There are arrows going from 6 to negative 1, from negative 1 to 2, from 4 to 3, and from 0 to 3.
Answer

Yes

No

Answer 1

Each input has only one output so it is a function. The output is allowed to have more than one input.

Answer 2

The is a function because for each element of the set X there is only one correspondent element in the set Y.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The x circle contains the -6, -1, 4, and 0. The y circle contains the -2, -1, and 3.

The numbers from x to numbers from y. There are arrows going from 6 to -1, from -1 to 2, from 4 to 3, and from 0 to 3.

Yes, The is a function because for each element of the set X there is only one correspondent element in the set Y.

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