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For a graph to be a function, each x-value has to take maximum one y-value. One way you can check this is drawing a vertical lines through points on the graph. If a single vertical line intersects the graph in more than one place, that means the x-value defining the line has more than one y-value, and the graph is not a function.
tl;dr: Draw vertical lines through the function, and if the lines only intersect the graph once, you have a function.

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Q: What is a way of determining whether a graph is a function?
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