IV. Identifying Functions A. Determine which relations represent functions. If the relation is not a function, state why no

1: Function

2: Not a Function

We consider a Relation to be a Function if one input from the Domain corresponds to only one output from the Range or multiple inputs from the Domain corresponds to only one output from the Range.

Part 1:

Given:

We can see from the given table that there's no input from the Domain that corresponds to multiple outputs from the Range. We can only see multiple inputs, and from the Domain that corresponds to only one same output from the Range, . So, we consider this relation a function.

Part 2:

Please refer to the image for the Given Graph.

If we consider to be Domain and to be Range, we can see for the same input, , it corresponds to infinite outputs. Other way of view this is that consider the point , no matter what real values of the output, , the point will still be on the line. So, this graph is not a function.

college

step-by-step explanation: