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

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

Show that the function f : R rarr R defined by f(x) = cos (5x+3) is neither one-one not 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 the function f:R rarr R be defined by f(x)=2x+sin x 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

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

Let M be the set of all 2xx2 matrices with entries from the set R of real numbers. Then the function f: M->R defined by f(A)=|A| for every A in M , 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 f: R->R be a function defined by f(x)=(x^2-8)/(x^2+2) . Then, f is (a) one-one but not onto (b) one-one and onto (c) onto but not one-one (d) neither one-one nor onto

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

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 f:R rarr R be defined as f(x)=3x Choose the correct answer.(A) fis one-one onto (B) fis many-one onto (A) fis one-one not onto (D) fis neither one-one nor onto.