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Consider these two graphs. Does each represent a function? Why or why not?

Consider these two graphs. Does each represent a function? Why or why not?-example-1

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Answer:

The first one is a function but the second one is not.

Explanation:

Using the vertical line test, we can check if the graphs are a function or not. Every vertical line can only touch a graph once in order for the function to pass the Vertical Line Test. If a graph passes the Vertical Line Test, it's the graph of a function. The first one has no points intersecting each other if you draw a vertical line for each point. However, if you draw vertical lines for the second graph, the points vertically intersect each other, making it not a function.

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