Show that `f: RvecR ,` given by `f(x)=x-[x],` is neither one-one nor onto.

Show that f:R rarr R, given by f(x)=x-[x], is neither one-one nor onto.

Show that f:R rarr R, given by f(x)=x-[x], is neither one-one nor onto.

Show that the modulus function f:R rarr R , given by f(x)=|x| 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

Prove that the Greatest Integer Function f:R rarr R given by f(x)=[x] is neither one-one nor onto,where [x] denotes the greatest integer less than or equal to x.

Show that the function f:RrarrR defined by f(x)=x^(2) is neither one-one nor onto.

Show that the function f:R rarr R given by f(x)=cos x function f:R, is neither one-one nor onto.

Show that the Modulus Function f" ": R->R , given by f" "(x)" "=" "|" "x" "| , is neither one-one nor onto, where |" "x" "| is x, if x is positive or 0 and |" "x" "| is " "x , if x is negative.

Show that the function f:R rarr R given by f(x)=cos x for all x in R, is neither one- one nor onto