Examine each of the following relations given below and state in each case, giving reasons whether it is a function or not?(i) `R= {(2, 1), (3,1), (4,2)}`, (ii) `R= {(2, 2), (2, 4), (3,3), (4,4)}`(iii) `R= {(1, 2

Explanation

To determine whether each of the given relations is a function, we need to check if every element in the domain (the first component of each ordered pair) maps to a unique element in the codomain (the second component of each ordered pair). A relation is a function if no two different ordered pairs have the same first element with different second elements.

Let's analyze each relation step by step:

### (i) Relation: R = {(2, 1), (3, 1), (4, 2)}

1. **Identify the domain elements**: The first elements (domain) are 2, 3, and 4.
2. **Check for unique images**:
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