Question: Question 6 Is this relation graphed below a function? [Graph of a relation with points plotted at…

Question 6

Is this relation graphed below a function?

[Graph of a relation with points plotted at (0, 2), (2, 0), and (0, -2)]

• Yes
• No

Solution

To determine if the relation graphed is a function, we use the vertical line test. The vertical line test states that a relation is a function if and only if no vertical line intersects the graph at more than one point. In the given graph, we can see that some vertical lines would intersect multiple points: - The vertical line through \( x = 0 \) intersects two points. Since there is a vertical line that intersects multiple points, the relation is not a function. So, the answer is: No.