Sketch the graph of the function f given by f(x)=[x],`where [ x ] is the Greatest integer function of x.

Sketch the graph of the function f given by f(x)={x/|x|,x!=0

Sketch the graph of the function f given by f(x)=|x-2|+|x-3|

Sketch the graph of the function f given by f(x)={(-1,xle0),(x^2,x>0):}

If f(x)=[x], where [x] is the greatest integer function then find f(√2) ,f(3),f(-1.3),f(0),f(-1).

Show that the function f : R rarr R defined by f(x)=[x] , where [x] is the greatest integer less than equal to x is neither one-one nor onto.

Find the domain of the following functions given by f(x)=x|x| .

Let f:R to R and g: R to R be two functions defined by f(x)=|x|" and "g(x)=[x] , where [x] denotes the greatest integer less than or equal to x. Find (fog) (5.75) and (gof)(-sqrt(5)) .

Draw the graph of each of the following functions given by : f(x)=1/x,x ne 0 .

Find the domain of the following functions given by f(x)=|x|+x .

Find the range of the following functions given by : f(x)=|x-3|