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

[AI-generated answer — Bot GPT 3.5]

Yes, because for each input there is exactly one output. In a function, each input value (x) must correspond to only one output value (y). In this given relation, each x-value is associated with only one y-value, making it a function.