Question

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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 1 comma 3, at negative 1 comma negative 2, at 0 comma 2, and at 5 comma 1 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

To determine whether the relation is a function, we need to check if each input (x-value) has exactly one output (y-value). Looking at the graph, we can see that there are two points with an x-value of -1: (-1, 3) and (-1, -2). This means that the input -1 has two different outputs, violating the definition of a function. Therefore, the answer is: No, because for each input there is not exactly one output.