Question

The graph represents a relation where x represents the independent variable and y represents the dependent variable.

Is the relation 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

No

Explanation:

Answer 2

(a) No, because for each input there is not exactly one output.

Explanation:

You want to know if the relation shown in the graph is a function.

Function

A relation is a function if its graph passes the vertical line test. That is, a vertical line cannot intercept the graph of the relation at more than one point.

The points (-1, -2) and (-1, 3) will both be intercepted by the vertical line x = -1. This tells us the relation is not a function, because it has two outputs for that input.

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