JEE Main 2009 — Functions Question with Solution
From: AIEEE 2009
Question
For real x, let f(x) = x3 + 5x + 1, then
Choose an option
Show full solutionCorrect option: C
Correct answer
Cf is one-one and onto R
Step-by-step explanation
Given that
is strictly increasing on
is one one
Being a polynomial is cont. and inc.
on with
and
Range of
Hence is onto also, So, is one and onto
is strictly increasing on
is one one
Being a polynomial is cont. and inc.
on with
and
Range of
Hence is onto also, So, is one and onto
Practice this on the real CBT interface
Solve this JEE Main question (and the rest of the Functions chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.
Solve interactively →About this question
This is a previous-year question from JEE Main 2009, covering the Functions chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.