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

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

Let f: R-> 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

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

The function f:xtoY defined by f(x)=x^(2)-4x+5 is both one-one and onto if

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

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

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 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

Let f : R^+ ->{-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 (3) one-one and onto (4) one- one and into