9.3k views
0 votes
Which graph represents a function?

Which graph represents a function?-example-1
User Osorio
by
8.3k points

1 Answer

0 votes
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 SnowmanXL
by
8.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories