Maths-
General
Easy

Question

f colon left square bracket negative 11 right square bracket rightwards arrow left square bracket negative 12 right square bracket comma f left parenthesis x right parenthesis equals x plus vertical line x vertical line comma is -

  1. one-one onto    
  2. one-one into    
  3. many one onto    
  4. many one into    

The correct answer is: many one into


    To find the type of function.

    for x>0f(x)=x+x=2x

    and x<0f(x)=xx=0

    if a line is drawn along x axis, it will intersect f(x) on infinite number of point

    Therefore, it is many one

    range of f(x) is [0,)

    Therefore, it is into

    Hence, the given function is many one and onto.

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