Suppose that f is a function that is defined for all numbers. Which one of the following conditions assures that f has an inverse function?

Which of the following functions has inverse function?

Which of the following functions has inverse function?

A function f:R to R is defined by f(x)=(x-1)(x-2) . Which one of the following is correct in respect of the function?

Suppose f is a function such that f'(x)=4x^3 and f''(x)=12 x^2 . Which of the following is true ?

Suppose that f is an even function, g is an odd function and both f and g are defined on the entire real line R. Which of the following wherever defined are odd function ?

A function f(x) is defined as even if and only if f(x) = f(-x) for all real values of x. Which one of the following graphs represents an even function f(x) ?

Which of the following functions are one-one? f:R rarr R defined by f(x)=-|x|

Suppose the function f(x) is defined as follows : f(x)= x(x-1)(x-2)(x-3)...(x-100) Then which one of the following is correct ?