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  • Help me please, - Sets, Relations and Functions - JEE Main-6

If f(x)= 3|x| . Then the range of f(x) is  

  • Option 1)

    [0,\infty)

  • Option 2)

    [3,\infty)

  • Option 3)

    R

  • Option 4)

    [1,\infty)

 

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

 

 

 

 

Range is the same i.e [0,\infty)

As it doesn't make a diffrence when multiplied


Option 1)

[0,\infty)

Option 2)

[3,\infty)

Option 3)

R

Option 4)

[1,\infty)

Posted by

Himanshu

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