Question

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.

Answer 1

Plot all of the points given on the same xy coordinate grid. Note how it is NOT possible to draw a vertical line through more than one point at a time (for any given single vertical line). Because of this, the relation passes the vertical line test making this a function.

The answer is choice A

Answer 2

Option A

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.