Class 12 Relations And Functions · Short Answer2 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Short Answer #211
Prove f:R→R, f(x)=4x−1, is one-one.
✅ Step-by-Step Solution
Final Answer: One-one.
- Assume f(u)=f(v) for real u,v.
- Then 4u−1=4v−1, so 4u=4v and u=v.
- Equal images force equal inputs, which proves injectivity.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] Assume f(u)=f(v) for real u,v.
- [1 mark] Then 4u−1=4v−1, so 4u=4v and u=v.
- [0.5 marks] Equal images force equal inputs, which proves injectivity.
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