For all real values of x, increasing function f(x) is

The function f(x)=x^(3)-3x^(2)+3x-100 ,for all real values of x is O increasing O decreasing O increasing & decreasing O Neither increasing nor decreasing

If a function f satisfies f (f(x))=x+1 for all real values of x and if f(0) = 1/2 then f(1) is equal to

If all the real values of m for which the function f(x)=(x^(3))/(3)-(m-3)(x^(2))/(2)+mx-2013 is strictly increasing in x in[0,oo) is [0, k] ,then the value of k is,

Prove that f(x) = ax + b, where 'a and b' are constants and a> 0 is a strictly increasing function for all real values of x, without using the derivative.

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) ?

If f(x) is a function f:R rarr R, we say f(x) has property I.If f(f(x))=x for all real numbers x.II.f(-f(x))=-x for all real numbers x.How many linear functions,have both property I and Il?

If f(x) is a function f:R-> R , we say f(x) has property I. If f(f(x)) =x for all real numbers x. II. f(-f(x))=-x for all real numbers x. How many linear functions, have both property I and Il ?

If f(x) is a function f:R-> R , we say f(x) has property I. If f(f(x)) =x for all real numbers x. II. f(-f(x))=-x for all real numbers x. How many linear functions, have both property I and Il ?