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.
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Responses
The relation is a straight line.
The relation is a straight line.
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.
No, the given relation is not a function.
No, the given relation is not a function.
Yes, the given relation is a function.
1 answer
To determine if the relation represented by the line passing through the points (0, -3) and (3, 0) is a function, we can apply the vertical line test.
The vertical line test states that if a vertical line intersects the graph of the relation at more than one point, then the relation is not a function. Since the given relation is a straight line, any vertical line will intersect it at most once.
Therefore, the correct response is:
Yes, the given relation is a function.
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