question_answer

Number of points of non-differentiability of the function \[f(x)=x[x]\,\{x\}\] in the interval \[[-1,2]\]is (where \[[x]\] and \[\{x\}\] denote the greatest integer function and fractional part function, respectively)

A) 1                       

B)        2                       

C) 3            

D)        4

Correct Answer: C

Solution :

  [c] From the graph, points of non-differentiability are \[x=0,1,2.\]