Graph the relation shown in the table. is the relation a function? why or why not?
(x, y)
(-5,-5)
(-3,-3)
(1,1)
(2,2)
a yes; no vertical line passes through two graphed points.
b no; a horizontal line passes through two graphed points.
c no; a vertical line passes through two graphed points.
d yes; no horizontal line passes through two graphed points.

Option A

Step-by-step explanation:

A relation is a function if there exist a unique output for each input value. In other words a relation is a function if there exist a unique value of y for each value of x.

According to the vertical line test if the graph of a relation intersect any vertical line at most once, then the relation is a function.

The given ordered pairs of relation are (-5,-5), (-3,-3), (1,1) and (2,2).

For each value of x, there is a unique value of y. It means no vertical line passes through two graphed points. So, the given relation is a function.

Therefore, the correct option is A.

could you give more information?