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={(1,0),(1,-1),(2,3),(4,10)},A={1,2,4},B={0,-1,3,10}`

Explanation

To determine whether the relation \( f = \{(1, 0), (1, -1), (2, 3), (4, 10)\} \) is a function from set \( A = \{1, 2, 4\} \) to set \( B = \{0, -1, 3, 10\} \), we need to check the definition of a function.

### Step 1: Understanding the Definition of a Function
A relation \( f \) is a function from set \( A \) to set \( B \) if every element in \( A \) is associated with exactly one element in \( B \). This means that for each input (or pre-image) from set \( A \), there should be one and only one output (or image) in set \( B \).

### Step 2: Analyzing the Given Relation
Let's analyze the pairs in the relation \( f \):
- The pair \( (1, 0) \) indicates that the element \( 1 \) from set \( A \) maps to \( 0 \) in set \( B \).
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