Which relation is a function?
(Points : 1)
A.(1, 2), (1, 5), (1, -1), (1, 4)}
B. {(8, -1), (2, -1), (3, 8), (2, 5}
C. {(-3, 4), (-2, 5), (0, 9), (0, 12)}
D. {(7, 12), (1, -5), (3, -10), (2, -5)}
Is its C :P?
In order to determine which relation is a function, we need to understand the concept of a function. A function is a mathematical relationship between two sets of values, where each input value from the first set has only one corresponding output value in the second set.
To verify if a relation is a function, we examine if there are any repeated input values. If there are no repeated input values, then the relation is a function.
Let's analyze the options:
A. (1, 2), (1, 5), (1, -1), (1, 4)
In this relation, the input value 1 occurs multiple times. Therefore, it is not a function.
B. {(8, -1), (2, -1), (3, 8), (2, 5)}
Once again, the input value 2 occurs multiple times in this relation. Hence, it is not a function.
C. {(-3, 4), (-2, 5), (0, 9), (0, 12)}
In this relation, all the input values are unique. None of them are repeated. Therefore, this relation is a function.
D. {(7, 12), (1, -5), (3, -10), (2, -5)}
The input value 2 occurs multiple times. Hence, this relation is not a function.
So, the correct answer is C. {(−3, 4), (−2, 5), (0, 9), (0, 12)}.