f(x) = x-[x] Function Analysis | GATE 2012 Math Question

Analysis of f(x) = x - [x] (Fractional Part Function) - GATE 2012 Textile Engineering Question 62

Textile Engineering > GATE 2012 > Functions

Let f(x)=x-[x] where x≥0 and [x] is the greatest integer not larger than x. Then f(x) is a

monotonically increasing function

monotonically decreasing function

linearly increasing function between two integers

linearly decreasing function between two integers

Correct : c

Analysis of f(x) = x - [x] (Fractional Part Function) - GATE 2012 Textile Engineering Question 62