Question

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

Answer 1

Answer:

This is not a function

Step-by-step 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

Answer:

  It is not a function

Step-by-step 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.