Use the image to answer the question.

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.

No, the given relation is not a function.
No, the given relation is not a function.

Yes, the given relation is a function.
Yes, the given relation is a function.
Remaining Attempts : 3
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Answer 1

To determine if the given relation is a function using the vertical line test, we look for whether any vertical line drawn on the graph intersects the plotted line at more than one point. If a vertical line intersects the line at more than one point, the relation is not a function.

In this case, the line passes through the points (0, -3) and (3, 0) and has an upward slant, meaning it is a straight line. A straight line will only be crossed by a vertical line at one point at a time.

Given that there is no instance where a vertical line intersects the line at more than one point, the relation passes the vertical line test.

Therefore, the correct response is:

Yes, the given relation is a function.