Class 12 Relations And Functions · Short Answer2 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Short Answer #165
For A={1,2,3,4}, B={2,4,6,8}, prove that f:A→B, f(x)=2x, is bijective.
✅ Step-by-Step Solution
Final Answer: Bijective.
- The images are f(1)=2, f(2)=4, f(3)=6, f(4)=8.
- All four images are distinct, proving injectivity, and every element of B is listed, proving surjectivity.
- Thus f is one-one and onto, hence bijective.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] The images are f(1)=2, f(2)=4, f(3)=6, f(4)=8.
- [1 mark] All four images are distinct, proving injectivity, and every element of B is listed, proving surjectivity.
- [0.5 marks] Thus f is one-one and onto, hence bijective.
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