Question
Which graph does NOT represent a function?
a. a u shape or a v
b. | shape
c. / shape
d. starts at the center of the coordinate plane thingy and drifts off screen, slowly rising. on quadrant one.
a. a u shape or a v
b. | shape
c. / shape
d. starts at the center of the coordinate plane thingy and drifts off screen, slowly rising. on quadrant one.
Answers
GPT-4o mini
To determine which graph does NOT represent a function, we can apply the vertical line test. If a vertical line drawn anywhere on the graph intersects it at more than one point, then the graph does not represent a function.
Let's analyze each option:
a. **U shape or V shape**: These are parabolas (U) or a linear segment (V), and both pass the vertical line test. They represent functions.
b. **| shape**: This is a vertical line. A vertical line fails the vertical line test because it intersects itself at every point along the line. Thus, it does not represent a function.
c. **/ shape**: This is a linear function (a line with a positive slope), which passes the vertical line test and represents a function.
d. **Starts at the center of the coordinate plane and drifts off screen, slowly rising in quadrant one**: This description suggests a curve that is continuously rising, which likely represents a function, as it should pass the vertical line test.
Based on this analysis, the option that does NOT represent a function is:
**b. | shape**.
Let's analyze each option:
a. **U shape or V shape**: These are parabolas (U) or a linear segment (V), and both pass the vertical line test. They represent functions.
b. **| shape**: This is a vertical line. A vertical line fails the vertical line test because it intersects itself at every point along the line. Thus, it does not represent a function.
c. **/ shape**: This is a linear function (a line with a positive slope), which passes the vertical line test and represents a function.
d. **Starts at the center of the coordinate plane and drifts off screen, slowly rising in quadrant one**: This description suggests a curve that is continuously rising, which likely represents a function, as it should pass the vertical line test.
Based on this analysis, the option that does NOT represent a function is:
**b. | shape**.
you are correct, thank you!