Is the following relation a function? Justify your answer. Two circles are shown, one labeled x and the other labeled y. The x circle contains the numbers 6, negative 1, and 4. 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 3, from negative 1 to 2, from negative 1 to negative 1, and from 4 to 3. No, because there is an input value with more than one output value No, because there is an output value with more than one input value Yes, because each input value has only one output value Yes, because each output value has only one input value

A relation maps elements from a set (called the domain, which is the set of the inputs) into elements from another set (called the range, which is the set of the outputs). Such that these mappings generate coordinate pairs (x, y) or (input, output)

A relation is a function only if all the elements in the domain are mapped into only one value in the range.

On the given relation, we have the coordinate pairs:

(6, 3)

(1, 2)

(-1, -1)

(4, 3)

So we can see that each input is mapped into only one output, then this relation is a function.

The correct option is "Yes, because each input value has only one output value"

If you want to learn more about functions:

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