" The function "f(x)=|x|AA x in R" is "

The function f(x) = |x| AA x in R is

Range of the function f(x)=(|x|)/(x),AA x in R,x!=0

Show that the function f(x)=|x-1|+|x+1| AA x in R is not differentiable at the points x=-1 and x=1 .

Find the points of local extrema (if any) and local extrema of the following functions each of whose domain is shown against the function. f(x) = x^(2), AA x in R

Consider a function g(x)=f(x-2),AA x in R , where f(x)={{:((1)/(|x|),":",|x|ge1),(ax^(2)+b,":",|x|lt1):} . If g(x) is continuous as well as differentiable for all x, then

Consider a function g(x)=f(x-2),AA x in R , where f(x)={{:((1)/(|x|),":",|x|ge1),(ax^(2)+b,":",|x|lt1):} . If g(x) is continuous as well as differentiable for all x, then

Discuss the continuity of the function f(x) = [x] + [-x] AA x in R . (where [.] denotes the G.I.F.)

The Period of the function of f(x)=x-[x] is [ AA x in R where [x] -integral part of x]

Find the points of local extrema (if any) and local extrema of the following functions each of whose domain is shown against the function. f(x) = x^(3) - 3x AA x in R

Draw the graph of the modulus function f: R to R defined by f(x) = |x| AA x in R .