Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Mcq Single Correct #77
Let \(f:\mathbb R\to\mathbb R\), \(f(x)=2x+\sin x\). Then \(f\) is
✅ Step-by-Step Solution
Final Answer: Option (D): One-one and onto
- f prime(x)=2+cos x>=1, so f is strictly increasing. Since sin x is bounded, f tends to opposite infinities at the two ends of the real line; continuity gives surjectivity.
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