Show that the Signum Function `f : R->R ,`given by `f(x)={1,ifx>0 0,ifx=0-1, ifx<0`is neither one-one nor onto.

Show that the Signum function f:R rarr R , given by f(x)={[1,x>00,x=0-1,x<0]) is neither one-one nor onto

Show that the Signum Function f" ": R->R , given by f(x)={1,""if""""x"""">""""0 0,""""if""""x=0-1, if""""x<0 is neither one-one nor onto.

Show that the Signum Function f:RrarrR , given by : f(x)={{:("1, if "xgt0),("0, if "x=0),("-1, if "xlt0):} is neither one-one nor onto.

Show that the logarithmic function f:R0+->R given by f(x)=(log)_(a)x,a>0 is a bijection.

Show that the function f(x) given by f(x)={xsin1/x ,x!=0 0,x=0

Show that the logarithmic function f:R_(0)^(+)rarr R given by f(x)=log_(a)x,a>0 is bijection.

Show that the function f:R rarr given by f(x)=xa+b, where a,b in R,a!=0 is a bijection.

The function f:[0,oo] to R given by f(x)=(x)/(x+1) is

Let f:" "R->R be the Signum Function defined as f(x)={1,""""""""""""x >0 0,""""""""x=0-1,""""""""x R be the Greatest Integer Function given by g(x)" "=" "[x] , where [x] is greatest integer less than or equal to x. Then does fo

Show that the function f:R-{3}rarr R-{1} given by f(x)=(x-2)/(x-3) is a bijection.