Let X=1,2,3,4. Determine whether  h=(2,1),(3,4),(1,4),(2,1),(4,4) relation on X is a function from X into X.

To determine whether a relation is a function, we need to check if every element in the domain (X in this case) is related to exactly one element in the codomain (also X in this case).

Let's look at the given relation h = {(2,1), (3,4), (1,4), (2,1), (4,4)}.

First, we can simplify this relation by removing any duplicate pairs. So, h becomes {(2,1), (3,4), (1,4), (4,4)}.

Now, let's check if every element in X is related to exactly one element in X.

1 is related to 4. 2 is related to 1. 3 is related to 4. 4 is related to 4.

So, every element in X is related to exactly one element in X. Therefore, h is a function from X into X.