Which of the following relations is a **function**?
A$\{(1,1), (1,2), (1,3)\}$
B$\{(2,2), (2,4), (3,3), (4,4)\}$
C$\{(2,1), (3,1), (4,2)\}$
DBoth A and B
Answer & Solution
Correct answer: C. $\{(2,1), (3,1), (4,2)\}$
A function requires *each domain element has exactly one image*.
- **A**: domain $\{2,3,4\}$, each appears once → **function**.
- **B**: $2 \to 2$ and $2 \to 4$ → same first element with two images → not a function.
- **C**: $1$ has three images → not a function.
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