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Does This. Graph Represent A Function? Why Or Why Not?

Does This. Graph Represent A Function? Why Or Why Not?-example-1

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Answer: D. Yes because it passes the vertical line test.

Explanation

A function cannot have duplicate x-coordinates.

When given a table or a set of coordinates, if there is an x-coordinate that is paired with two different y-coordinates then it is not a function.

When given a graph, the simplest way to determine if it is a function is to use the vertical line test. If you can draw a vertical line anywhere through the graph and it passes through two points, then it is not a function.

In the given graph, it passes the vertical line test so it IS a function.

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