Which of the following function/functions has/have point of inflection? `f(x)=x^(6/7)` (b) `f(x)=x^6` `f(x)=cosx+2x` (d) `f(x)=x|x|`

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Which of the following function from Z to itself are bijections? f(x)=x^3 (b) f(x)=x+2 f(x)=2x+1 (d) f(x)=x^2+x

Find the points of inflection for (a) f(x)=sinx (b) f(x)=3x^4-4x^3

For which of the following functions does f(x) f(2 - x) ?

In which of the following function, range is not singleton set f(x)=[x]+[-x] (b) f(x)={x}+{-x} f(x)=|sgn(x)| (d) f(x)=[sqrt(x-[x]) where [x],{x},a n dsgn(x) are greatest integer function, fractional part function and signum function respectively.

Find the points of inflection for f(x)=sinx f(x)=3x^4-4x^3 f(x)=x^(1/3)

Which of the following functions is the inverse of itself? (a) f(x)=(1-x)/(1+x) (b) f(x)=5^(logx) (c) f(x)=2^(x(x-1)) (d) None of these

In which of the following cases, the function f(x) has vertical tangent at x = 0 ? f(x)=x^(2//3)

If f(x) is a real valued function, then which of the following is injective function ? (i) f(x) = x^(5) (ii) f(x) = x + sin x (iii) f(x) = x^(2) (iv) f(x) = e^(x) (v) f(x) = x^(3) + x^(2) + 4x + 4

For which of the following functions f(0) exists such that f(x) is continuous at x=0 f(x)=1/((log)_e|x|) b. f(x)=(cos((sin|x|)/x)) c. f(x)=x sin(pi/x) d. f(x)=1/(1+2^(cot x))