Answer:
The relation is a function
Step-by-step explanation:
Given
[tex](1, 2), (2, -1), (3,0), (4, 1),\ and\ (5, 1)[/tex]
Required
Determine if the points is a function or not
A relation can be expressed as: [tex](x_1,y_1), (x_2,y_2),(x_3,y_3)......(x_n,y_n)[/tex]
Where
[tex]x = domain[/tex]
[tex]y = range[/tex]
When any domain element occurs more than once, then the relation is not a function.
The domain of the above points are:
[tex]x = \{1,2,3,4,5\}[/tex]
In this case, no domain occur more than once; in other words, no x value occur more than once
Hence, the relation is a function