Consider the function `f(x)(={(1-x,x<0),(1,x=0),(x-1,x>0))`(i)Fill up the following table.

Consider the function f(x)={(1-x,x 0):} Complete the following table

Consider the function f(x)(={(1-x,x 0)) (ii)Fill the domain and range of the function f.

Consider the function f(x)(={(1-x,x 0)) (iii)Sketch the graph of the above function.

Consider the function f(x)=(x+1)^3(x-3)^3 Find f'(x).

Consider the function f(x)={(1-x,x 0):} Draw a rough sketch of f(x) .

Consider the function f(x)=abs(x)-1,g(x)=1-abs(x) Find the area of the shaded region

Consider the function f(x)=frac(x+1)(x-1),xne1 fof(2) =__

Consider the function f(x)={(1+x,xle2),(5-x,x>2):} Check the differentiability of f(x) at x=2.

Consider the real function f(x)=(x+2)/(x-2) Find the domain and range of the function.

Consider the function f(x)={(1-x,x 0):} Draw a rough sketch of f(x) . What is your inference from the graph about its continuity. Verify your answer using limits.