NCERT Class 12 · Ch 1 Exercise 1.2 · Q11
NCERT Class 12 Maths · Chapter 1 Relations And Functions · Exercise 1.2 Question 11
For f:ℝ→ℝ, f(x)=x⁴, choose the correct classification.
💡 Concept Hints
- Use opposite inputs and a negative target.
- Separate the one-one and onto claims. For onto, ensure each inverse candidate lies in the allowed domain.
✅ Step-by-Step Solution
Final Answer: D.
- f(1)=f(−1)=1, so f is not one-one.
- The range is [0,∞), since every fourth power is nonnegative and any y≥0 has real fourth root.
- Negative codomain values are missing, so f is not onto ℝ. Select D.
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