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Dafna1 [17]
3 years ago
8

Which of the following correctly indicates whether the set of ordered pairs {(1, 3), (2, 2), (3, 1), (4, 0)} satisfies the requi

rements for being a linear function and correctly explains why?

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

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.

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