Question

Determine whether the relation shown is a function. Explain how you know.

Answer 1

This is not a function

Explanation:

To determine whether a relation is a function, we can use the vertical line test. If a vertical line touches the relation in more than one point, it is not a function.

Since a vertical line will touch the relation at two points at x=1

(1,1) and (1,3) this is not a function

Answer 2

It is not a function

Explanation:

The plot shows (1, 1) and (1, 3) are both defined by the relation. It does not pass the "vertical line test", which requires the relation be single-valued everywhere.