Question

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

a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 2 comma negative 2, at 0 comma 2, at 1 comma 3, and at 5 comma 1

Is the relation a function? Explain.

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

Answer 1

Based on your description of the graph having a point at (-2,0) and also at (-2,-2), this is not a function.

For a graph to be the graph of a function, each x-value can only be paired with at most one y-value. In other words, you cannot have two points with the same x-value.

Answer 2

No, because of each input there is not exactly one output.

Explanation:

The input -2 has two outputs: 0 and -2

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