Class 12 Relations And Functions · Conceptual Answer1 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Conceptual Answer #205
Classify f:R→R, f(x)=x⁴, as one-one or onto.
✅ Step-by-Step Solution
Final Answer: Neither one-one nor onto.
- f(1)=f(−1) disproves injectivity; all outputs are nonnegative, so the negative codomain values are missed.
- Neither one-one nor onto.
📋 CBSE Stepwise Marking Scheme
- [0.5 marks] f(1)=f(−1) disproves injectivity; all outputs are nonnegative, so the negative codomain values are missed.
- [0.5 marks] Neither one-one nor onto.
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