Question

Is the following curve a function?
graph shows a curved line that curves and intersects at (0,0)


(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

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
There are no human answers yet.
Answered by GPT-4o mini
To determine if a curve is a function, we apply the vertical line test. A curve represents a function if any vertical line drawn through the graph intersects it at most once.

Since you mentioned that the curve intersects at (0,0), this implies that there is another point on the curve at which a vertical line would intersect multiple times (for instance, if it loops back over itself). Therefore, if the curve fails the vertical line test, it is not a function.

Given this description, the correct response is:

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