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.

Answer 1

you are correct, thank you!

Answer 2

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**.