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Which graph represents a function?

Which graph represents a function?-example-1
User Darko Romanov
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Graph M represents a function.

Remember that a function can only take on one output for each input.

You could do the Vertical Line Test on each of the given graphs to see if they represent a function. If a vertical line intersects the graph in all places at exactly one point, then the relation is a function.

Attached is the edited screenshot of your given set of graphs (sorry if it’s a bit sloppy, I’m using my phone to post this answer).

I drew vertical lines (in blue), and the small red marks in each line indicate the areas where each vertical line crosses the graph.

As the graphs show, graph M is the only graph that has 1 point in each vertical line. This implies that each input only has 1 corresponding output.

Therefore, graph M is a function.
Which graph represents a function?-example-1
User Mohamed MILADI
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