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):}

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

Show that the inverse of the function f given by f(x)=(4x+3)/(6x-4), x ne2/3 is f itself.

Discuss the continuity of the function f given by f(x) = {(2-x,x<2),(2+x,xge2):}

Examine continuity at the given point of the function f defined by f(x)={(-x,xlt0),(x,0lexle1,),(2-x,xgt1,):} at x=0,1

Examine continuity at the given point of the function f defined by f(x)={(-2,xlt0),(0,x=0,),(2,xgt0,at x =0):}

Examine continuity at the given point of the function f defined by f(x)={(1-x,0 lexle1),(x-1,xgt1,):} at x=1

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|