158k views
6 votes
Is the following relation graphed below a function? Explain? Think about what open and closed circles mean

Is the following relation graphed below a function? Explain? Think about what open-example-1
User MikeKulls
by
7.7k points

1 Answer

6 votes

Given:

The graph of a relation.

To find:

Whether the given relation in the graph is a function or not.

Solution:

First we need to understand the meaning of open circles and closed circles.

Open circle: It is a unfilled circle, it means, that value is not included in the solution set.

Close circle: It is a completely filled circle, it means, that value is included in the solution set.

A relation is a function if their exist a unique y-value (output value) for each x-value (input value).

The graph of a relation is a function, if the graph intersect each vertical line at most once. It is known as vertical line test.

For the vertical lines x=-1 and x=1, the graph has only one close circle and all other vertical line intersect the graph at most once.

Since the graph passes the vertical line test, therefore it represents a function.

Is the following relation graphed below a function? Explain? Think about what open-example-1
User Matthew Hood
by
8.6k 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