Rolle theorem: statement or definition

Rolle's theorem is true for the function f(x)=x^2-4 in the interval

Rolle's theorem is true for the function f(x)=x^2-4 in the interval

Verify Rolle’s theorem for the function f(x) = x^2 + 2x - 8, x in [-4,2]

Find the value of c in Rolle’s theorem for the function f(x) = x^3– 3x in [–sqrt3, 0] .

Verify Rolle.s theorem for the function f(x)=x(x-2)^(2),0lexle2

Verify Rolle’s theorem for the function y = x^2 +2 , a = -2 and b = 2

Verify Rolle.s theorem for the function f(x)=x^(2)+3x-10 in the interval [-5,2]

Verify Rolle.s theorem for the function f(x)=x^(2)-3x+2 in the interval [1,2]

Verify the Rolle's theorem for the function f(x) = x^(2) in [-1,1]

If f(x)=x^(3) and g(x)=x^(3)-4x in -2 le x le 2 , then consider the statements : (i) f(x) and g(x) satisfy Rolle's theorem. (ii) f(x) and g(x) both satisfy Rolle's theorem. (iii) Only g(x) satisfies Rolle's theorem. Of these statements