Is the following curve a function?
Responses
Yes, it passes the vertical line test
Yes, it passes the vertical line test
No, it fails the horizontal line test
No, it fails the horizontal line test
No, it fails the vertical line test
No, it fails the vertical line test
Yes, it passes the horizontal line test
No, it fails the vertical line test.
The vertical line test states that a curve must not intersect any vertical line more than once in order to be considered a function.
To determine whether a curve is a function or not, you can use the vertical line test. This test involves drawing vertical lines through the curve. If any vertical line intersects the curve at more than one point, then the curve is not a function.
So, if the curve passes the vertical line test (meaning that no vertical line intersects the curve at more than one point), then it is a function.
Based on the given responses, the correct answer is: Yes, it passes the vertical line test.
To determine if a curve is a function, you can use two tests: the vertical line test and the horizontal line test.
1. The vertical line test: Draw vertical lines through different points on the curve. If a vertical line intersects the curve at more than one point, then the curve does not represent a function.
2. The horizontal line test: Draw horizontal lines through different points on the curve. If any of these lines intersect the curve at more than one point, then the curve does not represent a function.
Based on the given responses, we have two "Yes" answers and two "No" answers. This means there is some disagreement.
If you want to confirm whether the given curve is a function, you can perform both tests:
- First, perform the vertical line test: draw vertical lines through different points on the curve. If the vertical lines intersect the curve at more than one point, then the curve does not represent a function.
- Second, perform the horizontal line test: draw horizontal lines through different points on the curve. If any of these lines intersect the curve at more than one point, then the curve does not represent a function.
By following these steps and observing the intersections between the curve and the lines, you will be able to determine if the given curve is a function or not.