Is the relationship graphed a function or not a function? (1 point) Responses No, it fails the horizontal line test. No, it fails the horizontal line test. Yes, it passes the vertical line test. Yes, it passes the vertical line test. No, it fails the vertical line test. No, it fails the vertical line test. Yes, it passes the horizontal line test.

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

To determine whether a relationship graphed is a function or not, we use the vertical line test.

  • If any vertical line intersects the graph at more than one point, then the graph does not represent a function.
  • If every vertical line intersects the graph at most once, then the graph does represent a function.

The horizontal line test is used to determine if a function is one-to-one (i.e., it has an inverse). If any horizontal line intersect the graph at more than one point, the function is not one-to-one.

Based on the responses provided:

  • "Yes, it passes the vertical line test." - This response indicates that the relationship graphed is a function.
  • "No, it fails the vertical line test." - This response suggests that the relationship graphed is not a function.

If the question is to confirm whether a given relationship is a function based on the tests mentioned, you would rely on identifying whether the correct response regarding the vertical line test is chosen.

If it passes the vertical line test, then the correct answer would be:
Yes, it passes the vertical line test.

If it fails the vertical line test, then the correct answer would be: No, it fails the vertical line test.

In summary, look specifically for responses referring to the vertical line test to determine if it's a function.