Answer:
[A] ((-2,5), (7, 5), (4, 0), (3, 1), (0,6))
Explanation:
Given:
Which of the relations given by the following sets of ordered pairs is a function?
A. ((-2,5), (7, 5), (4, 0), (3, 1), (0,6))
B. ((1,2), (2, 3), (3,4), (2, 1), (1, 0))
C. ((2-8), (6, 4), (-3, 9), (2, 0), (5, 3))
D. ((1,3), (1, 1), (1, 1), (1,3), (1,5)}
Solve:
Knowing that; In order to know if a set of ordered pairs is a function or not we must see that if every x value have one or more than one y value that a function. If there is more than one same x value then it isn't a function.
Summary:
x value can't be duplicate but y can - in a working function
Hence, based on what we see in the answer choices;
[A] ((-2,5), (7, 5), (4, 0), (3, 1), (0,6)) is a function. Due to none repeat x values.
[B]((1,2), (2, 3), (3,4), (2, 1), (1, 0)) isn't a function. Due to repeat x -values (1 and 2)
[C] ((2-8), (6, 4), (-3, 9), (2, 0), (5, 3)) isn't a function. Due to repeat x-values (2)
[D] ((1,3), (1, 1), (1, 1), (1,3), (1,5)} isn't a function. Due to repeat x-values (1)
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