Which of the following relations are functions from A to B write their domain and range if it is not a function give reason ? `f={(a,b),(a,2),(b,3),(b,4)},A={a,b},B={b,2,3,4}`

Explanation

To determine whether the relation \( f = \{(a,b), (a,2), (b,3), (b,4)\} \) is a function from set \( A = \{a, b\} \) to set \( B = \{b, 2, 3, 4\} \), we need to check the definition of a function.

### Step 1: Check if each element in A has a unique element in B
A relation is a function if every element in the domain (set A) is associated with exactly one element in the codomain (set B).

- For element \( a \):
- It relates to \( b \) (from the pair \( (a,b) \))
- It also relates to \( 2 \) (from the pair \( (a,2) \))
...