If ` f (x) = 1/2 x - 1`, then on the interval `[0, pi]`

Indicate all correct alternatives if, f(x) = x/2-1 , then on the interval [0, pi]

Indicate all correct alternatives: if f(x) = x/2-1 , then on the interval [0, pi] :

Indicate all correct alternatives: if f(x) = x/2-1 , then on the interval [0, pi] :

Indicate all correct alternatives if,f(x)=(x)/(2)-1, then on the interval [0,pi]

Verify Rolle's Theorem for the function f(x) = cos {2(x - pi/4)} in the interval [0,pi/2]

Verify Rolle's theorem for function f(x) = sin x + cos x - 1 in the interval [0,pi/2] .

Verify Rolle's theorem for the function, f(x) = -1+"cos "x in the interval [0, 2pi] .

Using Lagrange's theorem , find the value of c for the following functions : (i) x^(3) - 3x^(2) + 2x in the interval [0,1/2]. (ii) f(x) = 2x^(2) - 10x + 1 in the interval [2,7]. (iii) f(x) = (x-4) (x-6) in the interval [4,10]. (iv) f(x) = sqrt(x-1) in the interval [1,3]. (v) f(x) = 2x^(2) + 3x + 4 in the interval [1,2].

Verify Rolle's theorem for the following functions in the given intervals. f(x) = sinx + cos x in the interval [0 , pi//2] .