Show that the function f : `R rarr R` defined as f(x) = `x^(2)` is neither one-one nor onto.

Show that the function f:R to R defined by f(x)=(x)/(x^(2)+1) is neither one-one nor onto.

Show that f : R to R defined as f(x) = sgn(x) is neither one-one nor onto.

Show that the fuction f:RrarrR defined by f (x)=sin x is neither one-one nor onto.

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

Show that the function f: R rarr R , f(x)= x^(4) is many-one and into.

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.

Find whether the function f: Z rarr Z , defined by f(x) = x^(2) +5, AA x in Z is one-one or not.

State whether the function f : R rarr R, defined by f(x) = 3 - 4x is onto or not.

Show that the fuction f in A=R-{2/3} definde as f(x)=(4x+3)/(6x-4) is one-one and on to. Hence find f^(-1) .

Let f:RrightarrowR be defined as f(x)=3x . Then f is one-one and onto