Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • Help me solve this - Sets, Relations and Functions - JEE Main-5

If f(x) =-|x|. Then range of f(x) is 

  • Option 1)

    [0,\infty}

  • Option 2)

    (0,\infty)

  • Option 3)

    (-\infty,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

 

 

 

 since the range of f(x) \Rightarrow[0,\infty)

The range of -|x|  \Rightarrow(\infty,0]

so the graph of |x| is

 

 

 

 

 

 

 


Option 1)

[0,\infty}

Option 2)

(0,\infty)

Option 3)

(-\infty,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 application correction begins on jeemain.nta.nic.in; edit details by December 2
anam-khan

JEE Mains 2026 LIVE: NTA to conduct session 1 from January 21 to 30; exam pattern, syllabus
anam-khan

JEE Main 2026 correction window opens tomorrow; NTA allows exam city change

Latest Question