Question

Please help!!! Thank you to anyone who does!!!

Answer 1

Check the picture below.

so, using the vertical line test on the graph of a relation, the vertical line drawn on it must never touch the graph more than once, if it touches the line once only, drawn anywhere on the graph vertically, then it's a function, like the one on the left-side in the picture.

Now, once a vertical line touches the graph more than once, then is no longer a function, notice the one on the right-side, any of those points can make it not be a function, because they make the vertical line touch it twice.

Answer 2

An example would be anything on the x = 0 line other than (0, 0).

Explanation:

The line can be used to make a point that will fail the vertical line test.

A function cannot have more than one point on the same x-value.

The vertical line test checks this, by testing whether two points share the same x-value. If so, then it is not a function.

Some examples of points that could be added would be:

(0, -1) (there is already a point at (0, 0) meaning there cannot be anything on the same x-value)

(0, -2), ect.

You could likely add something on the x = -5 or 5 area, however, there is no guarantee that those points are actually on the same x-value or not.