Answer:
The set of ordered pairs {(1, 3), (2, 2), (3, 1), (4, 0)} satisfies the requirements for being a linear function.
Step-by-step explanation:
Given the set of ordered pairs
{(1, 3), (2, 2), (3, 1), (4, 0)}
From the ordered pairs, we determine that:
x y
1 3
2 2
3 1
4 0
Determine the common difference of y-values:
- 2 - 3 = -1
- 1 - 2 = -1
- 0 - 1 = -1
As the common difference of y-values is same, it means the ordered pairs in the table represents the linear function.
In a nutshell,
- As there is no repetition of x values, it validates it indeed a function.
- The common difference of y-values is same, meaning it represents the linear function.
Please also check the attached graph. The graph is a straight line, further indicating that it is a linear function.
Therefore, the set of ordered pairs {(1, 3), (2, 2), (3, 1), (4, 0)} satisfies the requirements for being a linear function.
