Is the relationship graphed a function or not a function?

graph shows a horizontilal wavy line

(1 point)
Responses

Yes, it passes the horizontal line test.
Yes, it passes the horizontal line test.

No, it fails the vertical line test.
No, it fails the vertical line test.

Yes, it passes the vertical line test.
Yes, it passes the vertical line test.

No, it fails the horizontal line test.

1 answer

To determine if a relationship graphed is a function, we typically use the vertical line test. If any vertical line drawn on the graph intersects the line more than once, then the relationship is not a function.

Since you described a "horizontal wavy line," it's important to note that this implies the line could potentially cross itself at various points vertically.

Given the options provided:

  • No, it fails the vertical line test.

This response would be appropriate if the wavy line does indeed intersect any vertical line more than once, indicating that it is not a function.

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

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