Let `f(x) = (3- x^2)/(1+x^2)` then (a) f(x) is even & periodic (b) f(x) is even and non-periodic (c) `f:RR -> A` is onto if A = (-1,3] (d) `f:A -> RR` is one one it A = [-5,-3)

f(x)=(log(sec x+tan x)^(3) then f(x) is one one,onto,even or odd

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

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

Let f:(-pi/2,pi/2)vecR be given by f(x)=(log(sec"x"+tan"x"))^3 then a) f(x) is an odd function b) f(x) is a one-one function c) f(x) is an onto function d) f(x) is an even function

Let f(x+p)=1+{2-3f(x)+3(f(x))^2-(f(x)^3}^(1//3), for all x in R where p>0 , then prove f(x) is periodic.

Let f (x) = | x - 2| where x is real number. Which one of the following is true ? a) f is periodic b) f (x + y ) = f (x) + f (y) c)f is not one-one function d)f is an even function

If F:Z rarr Z , and F(x)=x^2 then (a)F(x) is one one (b)F(x) is onto (c)F(x) is bijective (d)F(x) is neither one one nor onto

Let f:[0,5] to [-1,5] , where f(x)={x^2-1,0 then f(x) is : (A) one-one and onto (B) one-one and into (C) many one and onto (D) many one and into

Let f(x)=cos(pi(|x|+2[x])) where [.] represents greatest integer function,then then (1) f(x) is neither odd nor even (2)f(x) is non periodic function ( 3 ) Range of f(x) is [-1,1] (4) f(x)=|f(x)| for all x .

If f(x)=sqrt(x^2+6x+9) , then f^(prime)(x) is equal to (a) 1 for x<-3 (b) -1 for x<-3 (c) 1 for all x in RR (d) none of these