For each real `x ,=1`

For each real x, let f(x)=max{x,x^(2),x^(3),x^(4)} then f(x) is

let f(x)=2+cos x for all real x Statement 1: For each real t,there exists a pointc in [t,t+pi] such that f'(c)=0 Because statement 2:f(t)=f(t+2 pi) for each real t

The function f(x) has the property that for each real number x in its domain,(1)/(x) is also in its domain and f(x)+f((1)/(x))=x. Find the largest set of real numbers that can be in the domain of f(x)?

For each non-zero real number x, let f(x)=(x)/(|x|) . The range of f is

For real x, if f(x)=x^(3)+5x+1 , then

For real values of x the expression x^(2)-x+1hline

Let Q(x) be a quadratic polynomial with real coefficients such that for all real x the relation, 2(1+Q(x)) =Q(x - 1) +Q(x +1) holds good. If Q(0) = 8 and Q(2) = 32 then The number of integral values of 'x' for which Q(x) gives negative real values.

For all real values of x if |(x^(2)-3x-1)/(x^(2)+x+1)|<3 limit of x are