`f: R rarr R,f(x)=x|x|` is
(A) one-one but not onto (B) onto but not one-one (C) Both one-one and onto (D) neither one-one nor onto

Let N be the set of numbers and two functions f and g be defined as f,g:N to N such that f(n)={((n+1)/(2), ,"if n is odd"),((n)/(2),,"if n is even"):} and g(n)=n-(-1)^(n) . Then, fog is (A) one-one but not onto (B) onto but not one-one (C) both one-one and onto (D) neither one-one nor onto

If a function f:[2,\ oo)->R defined by f(x)=(x-1)(x-2)(x-3) is (a) one-one but not onto (b) onto but not one-one (c) both one and onto (d) neither one-one nor onto

0:7Let p, q, r e R such that 3qgtp2. Then the function g: RR given by g(x)= x3 + px2 + qx +r, is(A) one-one and onto(B) onto but not one-one(C) one-one but not onto(D) neither one-one nor onto

The function f::[0,3]rarr[1,29], defined by f(x)=2x^(3)-15x^(2)+36x+1, is (a) one-one and onto (b) onto but not one-one (c) one-one but not onto (d) neither one-one nor onto

f: R->R is defined by f(x)=(e^x^2-e^-x^2)/(e^x^2+e^-x^2) is (a) one-one but not onto (b) many-one but onto (c) one-one and onto (d) neither one-one nor onto

The function f:[0,\ oo)->R given by f(x)=x/(x+1) is (a) one-one and onto (b) one-one but not onto (c) onto but not one-one (d) neither one-one nor onto

Let f: Z->Z be given by f(x)={x/2,\ if\ x\ i s\ e v e n,0,\ if\ x\ i s\ od d . Then, f is (a) onto but not one-one (b) one-one but not onto (c) one-one and onto (d) neither one-one nor onto

Let the function f: R-{-b}->R-{1} be defined by f(x)=(x+a)/(x+b) , a!=b , then (a) f is one-one but not onto (b) f is onto but not one-one (c) f is both one-one and onto (d) none of these

f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x)={(0", if x is rational"),(x", if x is irrational"):} Then, f-g is (A) one-one and onto (B) one-one but nor onto (C) onto but not one-one (D) neither one-one nor onto

the function f : R rarr [ -1,1 ] defined by f(x) = cos x is (a) both one-one and onto (b) not one-one, but onto (c) one-one, but not onto (d) neither one-one, nor onto