Graph the relation shown in the table. Is the relation a function? Why or why not?

Question

Yes; no horizontal line passes through two graphed points.

No; a horizontal line passes through two graphed points.

Yes; no vertical line passes through two graphed points.

No; a vertical line passes through two graphed points.

Answer 1

To determine if the relation is a function, we can check if each input corresponds to exactly one output.

In the given table, we have the following data:

(1, 2)
(2, 3)
(3, 4)
(1, 5)

From the table, we can see that the input 1 corresponds to two different outputs, 2 and 5. This means that the relation is not a function.

Therefore, the answer is:

No; a vertical line passes through two graphed points.