f: `NrarrN,` where `f(x)=x-(-1)^x`. Then f is: (a)one-one and into (b)many-one and into (c)one-one and onto (d)many-one and onto

The function f: R->R defined by f(x)=2^x+2^(|x|) is (a) one-one and onto (b) many-one and onto (c) one-one and into (d) many-one and into

The function f: R->R defined by f(x)=6^x+6^(|x|) is (a) one-one and onto (b) many one and onto (c) one-one and into (d) many one and into

Let f:R rarr R, be defined as f(x)=e^(x^(2))+cos x, then is (a) one-one and onto (b) one-one and into ( c) many-one and onto (d) many-one and into

If f:NrarrN is given by f(x)={((x+1)/(2), if x " is odd"),((x)/(2),if x " is even"):} and g:NrarrN is given by g(x)=x-(-1)^x, then f(g(x)) is (a) one one and onto (b) may one and onto (c) one one and not onto (d) neither one-one onto

The function f:(-oo,-1)rarr(0,e^(5)) defined by f(x)=e^(x^(3)-3x+2) is (a)many one and onto (b)many one and into (c)one-one and onto (d)one-one and into

Let f: R->R be given by f(x)=[x]^2+[x+1]-3 , where [x] denotes the greatest integer less than or equal to x . Then, f(x) is (a) many-one and onto (b) many-one and into (c) one-one and into (d) one-one and onto

f(x) is a polynomial function, f: R rarr R, such that f(2x)=f'(x)f''(x). f(x) is (A) one-one and onto (B) one-one and into (C) many-one and onto (D) many-one and into

If f:N rarr N;f(x)=x-(-1)^(x) is (1) one one and into (2) Bijective (3) many one and into (4) many one and onto

Let f:R^(+)rarr{-1,0,1} defined by f(x)=sgn(x-x^(4)+x^(7)-x^(8)-1) where sgn denotes signum function then f(x) is (1) many- one and onto (2) many-one and into one-one and onto (4) one- one and into

If f(x) = x^3 + 3x^2 + 12x - 2 sin x, where f: R rarr R, then (A) f(x) is many-one and onto (B) f(x) is one-one and onto(C) f(x) is one-one and into (D) f(x) is many-one and into