Write a function on R which is onto but not one-one.

Which of the following figure represents the graph of a function on R which is onto but not one-one.

If f(x) = (sin([x]pi))/(x^2+x+1) , where [ .] denotes the greatest integer function , then a)f is one-one b)f is not one-one and non-constant c)f is a constant function d)none of these

If the functions f(x) and g(x) are defined on R rarr R such that f(x)= {(0,"x" in " rational"),(x, x in " irrational"):} and g(x)= {(0,"x" in " irrational"),(x, x in " rational"):} then (f - g) (x) is a)one - one and onto b)neither one - one nor onto c)one - one but not onto d)onto but not one - one

Let the function f:R rarr R be defined by f (x) = 2x + sinx for x in R .Then f is a)one - to - one and onto b)one - to - one but not onto c)onto but not one - to - one d)neither one - to - one nor onto

If f: [0,oo) rarr [0,oo) and f(x) = x/(1+x) , then f is a)one-one and onto b)one-one but not onto c)onto but not one-one d)neither one-one nor onto

If f and g are one-one functions, then a)f + g is one-one b)f g is one-one c)fog is one-one d)none of these

Liver is the largest gland and is associated with various functions, choose one which is not correct

In each of the following cases,state whether the function is onto,one to one or bijective.Justify your answer if:NrarrN defined by f(n)={((n+1)/2,n is odd),(n/2,n is even):}

Let A be the set of all 50 students of class X in a school. Let f : A rarr N be function defined by f(x) = roll numbers of the student x. Show that f is one-one but not onto