The answer would be option (B) both the sets A and B represents a function
The function is defined as mathematics expression defines a relationship between one variable and another variable.
Relations is defined as the it is used to representation a connection between the elements of two sets. The elements of one set ( the domain) to elements of another set (the range) such that the resulting ordered pairs are of the form (input, output). It can also be said that a function is a subset of a relation
We are given to select the correct set of ordered pairs that represent a function :
A = {(−5, 5), (−2, 2), (2, −2), (5, −5)}
B = {(4, 2), (3, −2), (9, 4), (11, −3)}
We know that
A set of ordered pairs represents a function if each first element is associated with unique second element.
In set A, we see that no first element is associated to more than one second element. So, the set A represents a function.
In set B also, we see that each first element is associated to a unique second element. So, the set B is also a function.
Since, function assigns each input exactly one output x-values don't repeat.
Thus, both the sets A and B represents a function.
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