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What is the range of f(x) = 4[x]?

  • Option 1)

    {....-2,-1,0,1,2,....}

  • Option 2)

    {...-4,-2,0,2,4....}

  • Option 3)

    {...-8,-4,0,4,8....}

  • Option 4)

    {....-12,-6,0,6,12....}

 

Answers (1)

best_answer

As we have learned

Greatest Integer Function -

\left [ x \right ]= Greatest integer less than or equal to x

\left ( for\: x\: \in\: R \right )

- wherein

Range = Integers

 

 

 Range of [x] is Z i.e {...-2,-1,0,1,2...}

so Range of 4[x] is {...-8,-4,0,4,8}

 


Option 1)

{....-2,-1,0,1,2,....}

Option 2)

{...-4,-2,0,2,4....}

Option 3)

{...-8,-4,0,4,8....}

Option 4)

{....-12,-6,0,6,12....}

Posted by

Himanshu

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