Question

X = { 2, 3, 5, 7} y = {5,1,6,4}
F = {(2,1) (3,6) (5,5),(7,1)}
check 'f' is a relation or function - Justify​

Answer 1

Answer:

F is both- a function as well as a relation.

Step-by-step explanation:

For a set to be a function:

→ All of its domain must be covered in it.

And, in your question- Domain of F must be equal to the set X and after investigating we find that the Domain(F) = Set(X).

→ None of the element in X must be related to more than one element in its range.

So, in your question, it is clear that none of the element in X is related to more than one element in Y(Range).

Thus, the given set(F) is a function.

Also, Every function is also a Relation.

Thus, the given set(F) is a relation too.

And, that's how you do it!!

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