To determine if a curve is a function, we can use the vertical line test. If any vertical line intersects the curve more than once, then the curve does not represent a function.
- If the curve passes the vertical line test, then yes, it is a function.
- If it fails the vertical line test, then no, it is not a function.
The horizontal line test is used to determine if a function is one-to-one, but it does not determine whether something is a function in the first place.
Therefore, if you are only assessing whether the curve is a function, the appropriate responses would be:
- Yes, it passes the vertical line test (indicating it is a function).
- No, it fails the vertical line test (indicating it is not a function).
Please choose the answer based on whether the curve has passed or failed the vertical line test.