JEE Main 2009 — Functions Question with Solution
JEE Main 2009
Question
For real , let , then
Choose an option
Show full solutionCorrect option: C
Correct answer
C is one-one and onto
Step-by-step explanation
Given
Now
is strictly increasing function
It is one-one
Clearly, is a continuous function and also increasing on ,
and
takes every value between and .
Thus, is onto function.
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.