Determine whether the function f:X `rarr` Y defined by f(x) = 4x + 7, x `in X` is one-one.

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

State whether the function f:NrarrN defined by f(x)=5x is injective, surjective or both.

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.

If f: R rarr R is defined by f(x) = 3x + 2 define f (f (x))

Show that the function f:R to R defined by f(x)=(x)/(x^(2)+1) 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:N to N given by f(x) =2x , is one-one but not onto.