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Question

Let f : R → R such that for all ‘x’ and y in R vertical line f left parenthesis x right parenthesis minus f left parenthesis y right parenthesis vertical line less or equal than vertical line x minus y vertical line to the power of 3 end exponent text  then  end text f left parenthesis x right parenthesis

  1. e to the power of x end exponent    
  2. e to the power of negative x end exponent    
  3. X    
  4. text 'c'(constant) end text'/>    

The correct answer is: text ´c´(constant) end text


    table row cell L t subscript x rightwards arrow y end subscript invisible function application fraction numerator vertical line f left parenthesis x right parenthesis minus f left parenthesis y right parenthesis vertical line over denominator vertical line x minus y vertical line end fraction less or equal than vertical line x minus y vertical line to the power of 2 end exponent end cell row cell f to the power of ´ end exponent left parenthesis x right parenthesis equals 0 rightwards double arrow f left parenthesis x right parenthesis text end text text i end text text s end text text end text text c end text text o end text text n end text text s end text text t end text text a end text text n end text text t end text text end text end cell end table

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