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Question 1
4. For each of the relations below, determine which represent functions.

Which relations are functions? Select all that apply.

(3 points)
Responses

Relation 1
Relation 1

Relation 2
Relation 2

Relation 3
Relation 3

Relation 4
Relation 4

Relation 5
Relation 5

Relation 6

1 answer

To determine which relations represent functions, you need to check if each relation assigns exactly one output for each input. A relation is a function if no input is associated with more than one output.

To analyze each relation, you would typically look for the following:

  1. Unique Inputs: Each input (or x-value) must correspond to exactly one output (or y-value).
  2. Vertical Line Test: If you can draw a vertical line through the graph of the relation and it intersects the graph at more than one point, then the relation is not a function.

Since you provided a list of relations (however, the details of each relation are missing), I can't assess them directly. If you provide the specifics of Relations 1 through 6, I would be able to help you determine which ones are functions.