Graph the relation shown in the table. Is the relation a function? Why or why not?
(-5,-5)
(-3,-3)
(1,1)
(2,2)
A.No; a vertical line passes through two graphed points.
B.No; a horizontal line passes through two graphed points.
C.Yes; no horizontal line passes through two graphed points.
D.Yes; no vertical line passes through two graphed points.
The relation is a function because each input has only one corresponding output.
Here is the graph of the relation:
|
|
3 | * (2,2)
|
2 |
|
1 | *(1,1)
|
0 |
|
|
|____________________
-3 -2 -1 0
This relation is a function because for each input (x-value), there is only one output (y-value). There are no horizontal lines that pass through multiple points on the graph. Therefore, the correct answer is C. Yes; no horizontal line passes through two graphed points.