Graph the relation shown in the table. is the relation a function? why or why not? a; no; a vertical line passes through two graphed points. b; yes; no horizontal line passes through two graphed points. c; no; a horizontal line passes through two graphed points. d; yes; no vertical line passes through two graphed points.

Option D.

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.

Vertical line test : 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.

From the given table it clear that the 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 D.