Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Stuck here, help me understand: - Sets, Relations and Functions - JEE Main-5

If f(x)=|x| +x, Then What is the range of f(x)?

  • Option 1)

    [0,\infty)

  • Option 2)

    R

  • Option 3)

    {0}

  • Option 4)

    (-\infty,0]

 

Answers (1)

best_answer

As we have learned

Modulus Function -

\left | x \right |,x \in R= \left\{\begin{matrix} x,x\geqslant 0 & \\ -x,x<0 & \end{matrix}\right.

- wherein

Range \in \left [ \left o,\infty \right ) \right

 

 

 

 If  x> 0; f(x)= x+x=2x

If x< 0; f(x)= -x+x=0

                      hence range = [0,\infty)

 

 

 

 

 


Option 1)

[0,\infty)

Option 2)

R

Option 3)

{0}

Option 4)

(-\infty,0]

Posted by

Himanshu

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2026: NTA reopens Session 2 registration; apply by March 13 at jeemain.nta.nic.in
anam-khan

JEE Mains 2026 LIVE: NTA session 2 city slip soon; admit card, exam dates, here's how to prepare
anam-khan

JEE Main 2026 session 2 application correction begins on jeemain.nta.nic.in; edit details by tomorrow

Latest Question