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

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

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.

If f(x)=x^2 then find (f(1.1)-f(1))/(1.1-1)

If f(x) = 3x + 1,find f(-2),f(0),f(2).

If f:RrarrR defined by f(x)=(3x+5)/2 is an invertible function, then find f^(-1)

If f(x)=x|x| , then find f'(0).

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

Find the domain and range of real function f if f(x)=(1+x)/(1-x)

If f(x)=x^(x) , then find f'(x) .

Find the domain and range of real function f if f(x)=sqrt((x-1)(x-3))