Class 12 Relations And Functions · Mcq Single Correct1 Markstypes_of_functions
Class 12 Maths · Relations And Functions · Mcq Single Correct #59
For real \(x\), let \(f(x)=x^3+5x+1\). Then
✅ Step-by-Step Solution
Final Answer: Option (C): f is one-one and onto \(\mathbb{R}\)
- \(f\prime(x)=3x^2+5>0\), so \(f\) is injective. Continuity and limits \(-\infty\) and \(+\infty\) at the two ends give surjectivity onto \(\mathbb{R}\).
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