Question

determine whether the relation is a function.

input, x	output, y
-5	4
0	4
5	4

the relation is a function because every input value corresponds to select choice output value.

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Explanation:

Step1: Recall the definition of a function

A relation is a function if every input (x - value) has exactly one output (y - value). It is allowed for different inputs to have the same output.

Step2: Analyze the given table

Looking at the table, the input values are - 10, - 5, 0, and 5. Each of these input values has an output value of 4. So every input value corresponds to exactly one output value (even though multiple inputs correspond to the same output, that is still allowed in a function).

Answer:

The relation is a function because every input value corresponds to exactly one output value. So the last dropdown should be filled with "exactly one".