Question

The following points represent a relation where x represents the independent variable and y represents the dependent variable.

three fourths comma negative 2, 1 comma 5, negative 2 comma negative 7, three comma negative one half, and 6 comma 6

Does the relation represent a function? Explain.


No, because for each input there is not exactly one output

No, because for each output there is not exactly one input

Yes, because for each input there is exactly one output

Yes, because for each output there is exactly one input

Answer 1

(c) Yes, because for each input there is exactly one output

Explanation:

You want to know if this relation represents a function:

{(3/4, -2), (1, 5), (-2, -7), (3, -1/2), (6, 6)}

Function

A function has exactly one output for any input. In a list of ordered pairs, this means no first-value is repeated.

Here, the first values of the pairs are 3/4, 1, -2, 3, 6. There are no repeats, so the relation is a function. The appropriate choice is ...

(c) Yes, because for each input there is exactly one output

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