Question

why is your choice above a function? there is not a vertical line that would contain more than one ordered pair from the relation. the relation fails the vertical line test. there is an input value (x) that corresponds with more than one output value (y). there is at least one x - value that has more than one y - value paired with it.

Explanation:

First, identify which graph is not a function: the bottom graph fails the vertical line test (a vertical line can intersect it at more than one point). This means there exists at least one input x-value that maps to multiple output y-values, which violates the definition of a function.

Answer:

The bottom graph (the V-shaped one opening downward) is not a function.
Correct reasoning options:

• The relation fails the vertical line test.
• There is an input value (x) that corresponds with more than one output value (y).
• There is at least one x-value that has more than one y-value paired with it.