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Use the image to answer the question.

An illustration shows a coordinate plane with four quadrants. The x and y axes range from negative 6 to 6 in increments of 1. An upward slanting line passing through two plotted points is graphed on the plane. The line passes through points plotted at coordinates left parenthesis 0 comma negative 3 right parenthesis, and left parenthesis 3 comma 0 right parenthesis.

The graph of a relation is given. Apply the vertical line test to determine if this relation is a function.

(1 point)
Responses

There is not enough information to determine whether this relation is a function.
There is not enough information to determine whether this relation is a function.

The relation is a straight line.
The relation is a straight line.

Yes, the given relation is a function.
Yes, the given relation is a function.

No, the given relation is not a function.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
1 hour ago

To determine if the relation represented by the line is a function, we can apply the vertical line test. This test states that if a vertical line intersects the graph at more than one point, then the relation is not a function.

Since the line given in the description is upward slanting and extends infinitely in both directions without overlapping or intersecting itself, any vertical line drawn will intersect it at most once.

Therefore, the conclusion is:

**Yes, the given relation is a function.**